100413625305 has 64 divisors (see below), whose sum is σ = 191667875328. Its totient is φ = 43930460160.

The previous prime is 100413625211. The next prime is 100413625313. The reversal of 100413625305 is 503526314001.

It is not a de Polignac number, because 100413625305 - 2⁷ = 100413625177 is a prime.

It is a super-2 number, since 2×100413625305² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25129 + ... + 448841.

It is an arithmetic number, because the mean of its divisors is an integer number (2994810552).

Almost surely, 2^100413625305 is an apocalyptic number.

100413625305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100413625305 is a deficient number, since it is larger than the sum of its proper divisors (91254250023).

100413625305 is a wasteful number, since it uses less digits than its factorization.

100413625305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423826.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 100413625305 its reverse (503526314001), we get a palindrome (603939939306).

The spelling of 100413625305 in words is "one hundred billion, four hundred thirteen million, six hundred twenty-five thousand, three hundred five".