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103101696 = 283273613
BaseRepresentation
bin1100010010100…
…11010100000000
321012000002221100
412021103110000
5202343223241
614121454400
72361231015
oct611232400
9235002840
10103101696
115321a915
122a641400
131848b529
14d99b70c
1590b89b6
hex6253500

103101696 has 108 divisors (see below), whose sum is σ = 301831348. Its totient is φ = 33841152.

The previous prime is 103101689. The next prime is 103101697. The reversal of 103101696 is 696101301.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 83174400 = 4464^2 + 9120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167886 + ... + 168498.

Almost surely, 2103101696 is an apocalyptic number.

103101696 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 103101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150915674).

103101696 is an abundant number, since it is smaller than the sum of its proper divisors (198729652).

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

103101696 is an equidigital number, since it uses as much as digits as its factorization.

103101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 103101696 is about 10153.9005313229. The cubic root of 103101696 is about 468.9090374490.

Adding to 103101696 its reverse (696101301), we get a palindrome (799202997).

The spelling of 103101696 in words is "one hundred three million, one hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 576 584 613 657 768 876 1152 1168 1226 1314 1752 1839 2304 2336 2452 2628 3504 3678 4672 4904 5256 5517 7008 7356 9344 9808 10512 11034 14016 14712 18688 19616 21024 22068 28032 29424 39232 42048 44136 44749 56064 58848 78464 84096 88272 89498 117696 134247 156928 168192 176544 178996 235392 268494 353088 357992 402741 470784 536988 706176 715984 805482 1073976 1412352 1431968 1610964 2147952 2863936 3221928 4295904 5727872 6443856 8591808 11455744 12887712 17183616 25775424 34367232 51550848 103101696