100075413 has 32 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 58980096.

The previous prime is 100075397. The next prime is 100075429. The reversal of 100075413 is 314570001.

It is an interprime number because it is at equal distance from previous prime (100075397) and next prime (100075429).

It is not a de Polignac number, because 100075413 - 2⁴ = 100075397 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100075413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100075013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134320 + ... + 135062.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^100075413 is an apocalyptic number.

It is an amenable number.

100075413 is a deficient number, since it is larger than the sum of its proper divisors (49914987).

100075413 is a wasteful number, since it uses less digits than its factorization.

100075413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 100075413 is about 10003.7699393779. The cubic root of 100075413 is about 464.2755327562.

The spelling of 100075413 in words is "one hundred million, seventy-five thousand, four hundred thirteen".