100415104510225 has 24 divisors (see below), whose sum is σ = 124675444948320. Its totient is φ = 80228424672000.

The previous prime is 100415104510223. The next prime is 100415104510249. The reversal of 100415104510225 is 522015401514001.

It is not a de Polignac number, because 100415104510225 - 2¹ = 100415104510223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100415104510223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142613086 + ... + 143315464.

It is an arithmetic number, because the mean of its divisors is an integer number (5194810206180).

Almost surely, 2^{100415104510225} is an apocalyptic number.

It is an amenable number.

100415104510225 is a deficient number, since it is larger than the sum of its proper divisors (24260340438095).

100415104510225 is an equidigital number, since it uses as much as digits as its factorization.

100415104510225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709761 (or 709756 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

The spelling of 100415104510225 in words is "one hundred trillion, four hundred fifteen billion, one hundred four million, five hundred ten thousand, two hundred twenty-five".