100116540 has 48 divisors (see below), whose sum is σ = 311475360. Its totient is φ = 26697600.

The previous prime is 100116503. The next prime is 100116551. The reversal of 100116540 is 45611001.

100116540 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 92161 + ... + 93240.

It is an arithmetic number, because the mean of its divisors is an integer number (6489070).

Almost surely, 2^100116540 is an apocalyptic number.

100116540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100116540 is an abundant number, since it is smaller than the sum of its proper divisors (211358820).

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

100116540 is a wasteful number, since it uses less digits than its factorization.

100116540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185419 (or 185411 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100116540 is about 10005.8253032921. The cubic root of 100116540 is about 464.3391236163.

Adding to 100116540 its reverse (45611001), we get a palindrome (145727541).

The spelling of 100116540 in words is "one hundred million, one hundred sixteen thousand, five hundred forty".