100556253225 has 60 divisors (see below), whose sum is σ = 189422199120. Its totient is φ = 52720956000.

The previous prime is 100556253139. The next prime is 100556253271. The reversal of 100556253225 is 522352655001.

100556253225 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 625 + 3 + 2 + 25 = 666.

It is not a de Polignac number, because 100556253225 - 2²³ = 100547864617 is a prime.

It is a super-2 number, since 2×100556253225² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100556253225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 301351 + ... + 540300.

It is an arithmetic number, because the mean of its divisors is an integer number (3157036652).

Almost surely, 2^100556253225 is an apocalyptic number.

100556253225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100556253225 is a deficient number, since it is larger than the sum of its proper divisors (88865945895).

100556253225 is an equidigital number, since it uses as much as digits as its factorization.

100556253225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841732 (or 841718 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 100556253225 in words is "one hundred billion, five hundred fifty-six million, two hundred fifty-three thousand, two hundred twenty-five".