100514400540 has 48 divisors (see below), whose sum is σ = 289046823072. Its totient is φ = 26079411456.

The previous prime is 100514400523. The next prime is 100514400563. The reversal of 100514400540 is 45004415001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100514400540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22636159 + ... + 22640598.

It is an arithmetic number, because the mean of its divisors is an integer number (6021808814).

Almost surely, 2^100514400540 is an apocalyptic number.

100514400540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100514400540 is an abundant number, since it is smaller than the sum of its proper divisors (188532422532).

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

100514400540 is a wasteful number, since it uses less digits than its factorization.

100514400540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45276806 (or 45276804 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 100514400540 its reverse (45004415001), we get a palindrome (145518815541).

The spelling of 100514400540 in words is "one hundred billion, five hundred fourteen million, four hundred thousand, five hundred forty".