100416545540 has 24 divisors (see below), whose sum is σ = 223279143192. Its totient is φ = 37803875840.

The previous prime is 100416545539. The next prime is 100416545561. The reversal of 100416545540 is 45545614001.

It can be written as a sum of positive squares in 4 ways, for example, as 24430315204 + 75986230336 = 156302^2 + 275656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100416545540.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147671051 + ... + 147671730.

It is an arithmetic number, because the mean of its divisors is an integer number (9303297633).

Almost surely, 2^100416545540 is an apocalyptic number.

100416545540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100416545540 is an abundant number, since it is smaller than the sum of its proper divisors (122862597652).

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

100416545540 is a wasteful number, since it uses less digits than its factorization.

100416545540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295342807 (or 295342805 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 100416545540 in words is "one hundred billion, four hundred sixteen million, five hundred forty-five thousand, five hundred forty".