100415456267430 has 64 divisors (see below), whose sum is σ = 248078335938048. Its totient is φ = 25998108326400.

The previous prime is 100415456267419. The next prime is 100415456267461. The reversal of 100415456267430 is 34762654514001.

It is a super-2 number, since 2×100415456267430² (a number of 29 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 100415456267430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232842771 + ... + 233273630.

It is an arithmetic number, because the mean of its divisors is an integer number (3876223999032).

Almost surely, 2^{100415456267430} is an apocalyptic number.

100415456267430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100415456267430 is an abundant number, since it is smaller than the sum of its proper divisors (147662879670618).

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

100415456267430 is a wasteful number, since it uses less digits than its factorization.

100415456267430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466116621.

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 100415456267430 in words is "one hundred trillion, four hundred fifteen billion, four hundred fifty-six million, two hundred sixty-seven thousand, four hundred thirty".