100416511053 has 28 divisors (see below), whose sum is σ = 150581556348. Its totient is φ = 66932930880.

The previous prime is 100416510983. The next prime is 100416511087. The reversal of 100416511053 is 350115614001.

100416511053 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 651 + 1 + 0 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82669475529 + 17747035524 = 287523^2 + 133218^2 .

It is not a de Polignac number, because 100416511053 - 2¹⁶ = 100416445517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416515053) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8375323 + ... + 8387303.

Almost surely, 2^100416511053 is an apocalyptic number.

It is an amenable number.

100416511053 is a deficient number, since it is larger than the sum of its proper divisors (50165045295).

100416511053 is an equidigital number, since it uses as much as digits as its factorization.

100416511053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23496 (or 23481 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 100416511053 in words is "one hundred billion, four hundred sixteen million, five hundred eleven thousand, fifty-three".