100416501540 has 36 divisors (see below), whose sum is σ = 304596721884. Its totient is φ = 26777733696.

The previous prime is 100416501517. The next prime is 100416501541. The reversal of 100416501540 is 45105614001.

100416501540 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 650 + 1 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18687983616 + 81728517924 = 136704^2 + 285882^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (100416501541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278934547 + ... + 278934906.

Almost surely, 2^100416501540 is an apocalyptic number.

100416501540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100416501540 is an abundant number, since it is smaller than the sum of its proper divisors (204180220344).

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

100416501540 is a wasteful number, since it uses less digits than its factorization.

100416501540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557869468 (or 557869463 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 100416501540 in words is "one hundred billion, four hundred sixteen million, five hundred one thousand, five hundred forty".