100351137825 has 36 divisors (see below), whose sum is σ = 179780796988. Its totient is φ = 53508470400.

The previous prime is 100351137823. The next prime is 100351137851. The reversal of 100351137825 is 528731153001.

It is a happy number.

100351137825 is a `hidden beast` number, since 100 + 3 + 511 + 37 + 8 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3552994449 + 96798143376 = 59607^2 + 311124^2 .

It is not a de Polignac number, because 100351137825 - 2¹ = 100351137823 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100351137825.

It is not an unprimeable number, because it can be changed into a prime (100351137823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 991467 + ... + 1087983.

Almost surely, 2^100351137825 is an apocalyptic number.

100351137825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100351137825 is a deficient number, since it is larger than the sum of its proper divisors (79429659163).

100351137825 is a wasteful number, since it uses less digits than its factorization.

100351137825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101154 (or 101146 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 100351137825 in words is "one hundred billion, three hundred fifty-one million, one hundred thirty-seven thousand, eight hundred twenty-five".