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103108264 = 23717223277
BaseRepresentation
bin1100010010101…
…00111010101000
321012000102221121
412021110322220
5202343431024
614121545024
72361256120
oct611247250
9235012847
10103108264
1153224846
122a645174
131849150c
14d99dc80
1590ba8e4
hex6254ea8

103108264 has 96 divisors (see below), whose sum is σ = 245796480. Its totient is φ = 39638016.

The previous prime is 103108261. The next prime is 103108273. The reversal of 103108264 is 462801301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103108261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372094 + ... + 372370.

It is an arithmetic number, because the mean of its divisors is an integer number (2560380).

Almost surely, 2103108264 is an apocalyptic number.

103108264 is a gapful number since it is divisible by the number (14) 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 103108264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122898240).

103108264 is an abundant number, since it is smaller than the sum of its proper divisors (142688216).

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

103108264 is a wasteful number, since it uses less digits than its factorization.

103108264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 103108264 is about 10154.2239486826. The cubic root of 103108264 is about 468.9189943792.

Adding to 103108264 its reverse (462801301), we get a palindrome (565909565).

The spelling of 103108264 in words is "one hundred three million, one hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 277 289 322 391 476 554 578 644 782 952 1108 1156 1288 1564 1939 2023 2216 2312 2737 3128 3878 4046 4709 5474 6371 6647 7756 8092 9418 10948 12742 13294 15512 16184 18836 21896 25484 26588 32963 37672 44597 46529 50968 53176 65926 80053 89194 93058 108307 131852 160106 178388 186116 216614 263704 320212 356776 372232 433228 560371 640424 758149 866456 1120742 1516298 1841219 2241484 3032596 3682438 4482968 6065192 7364876 12888533 14729752 25777066 51554132 103108264