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103600325056 = 26171316591103
BaseRepresentation
bin110000001111100001…
…1111000000111000000
3100220102002021210202011
41200133003320013000
53144133140400211
6115332054302304
710325212143004
oct1403703700700
9326362253664
10103600325056
113aa33756658
12180b3657994
139a006a47b7
14502b296704
152a65362921
hex181f0f81c0

103600325056 has 112 divisors (see below), whose sum is σ = 219868577280. Its totient is φ = 48263720960.

The previous prime is 103600325051. The next prime is 103600325069. The reversal of 103600325056 is 650523006301.

It is a super-3 number, since 3×1036003250563 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103600325051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93925401 + ... + 93926503.

Almost surely, 2103600325056 is an apocalyptic number.

103600325056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103600325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109934288640).

103600325056 is an abundant number, since it is smaller than the sum of its proper divisors (116268252224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103600325056 is a wasteful number, since it uses less digits than its factorization.

103600325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 103600325056 in words is "one hundred three billion, six hundred million, three hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 131 136 262 272 524 544 659 1048 1088 1103 1318 2096 2206 2227 2636 4192 4412 4454 5272 8384 8824 8908 10544 11203 17648 17816 18751 21088 22406 35296 35632 37502 42176 44812 70592 71264 75004 86329 89624 142528 144493 150008 172658 179248 288986 300016 345316 358496 577972 600032 690632 716992 726877 1155944 1200064 1381264 1453754 1467593 2311888 2456381 2762528 2907508 2935186 4623776 4912762 5525056 5815016 5870372 9247552 9825524 11630032 11740744 12356909 19651048 23260064 23481488 24713818 39302096 46520128 46962976 49427636 78604192 93925952 95220887 98855272 157208384 190441774 197710544 380883548 395421088 761767096 790842176 1523534192 1618755079 3047068384 3237510158 6094136768 6475020316 12950040632 25900081264 51800162528 103600325056