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103125632 = 272393371
BaseRepresentation
bin1100010010110…
…01001010000000
321012001022202212
412021121022000
5202400010012
614122201252
72361360551
oct611311200
9235038685
10103125632
11532368a5
122a653228
13184993ac
14d9a6328
1590c0b22
hex6259280

103125632 has 32 divisors (see below), whose sum is σ = 206366400. Its totient is φ = 51331840.

The previous prime is 103125611. The next prime is 103125641. The reversal of 103125632 is 236521301.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 103125598 and 103125607.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28907 + ... + 32277.

It is an arithmetic number, because the mean of its divisors is an integer number (6448950).

Almost surely, 2103125632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103183200).

103125632 is an abundant number, since it is smaller than the sum of its proper divisors (103240768).

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

103125632 is an equidigital number, since it uses as much as digits as its factorization.

103125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 103125632 is about 10155.0791232762. The cubic root of 103125632 is about 468.9453218126.

Adding to 103125632 its reverse (236521301), we get a palindrome (339646933).

The spelling of 103125632 in words is "one hundred three million, one hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 239 478 956 1912 3371 3824 6742 7648 13484 15296 26968 30592 53936 107872 215744 431488 805669 1611338 3222676 6445352 12890704 25781408 51562816 103125632