100116610 has 48 divisors (see below), whose sum is σ = 200358648. Its totient is φ = 35988480.

The previous prime is 100116607. The next prime is 100116623. The reversal of 100116610 is 16611001.

It can be written as a sum of positive squares in 4 ways, for example, as 52548001 + 47568609 = 7249^2 + 6897^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116944 + ... + 117796.

Almost surely, 2^100116610 is an apocalyptic number.

100116610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100116610 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

100116610 is a wasteful number, since it uses less digits than its factorization.

100116610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 100116610 is about 10005.8288012538. The cubic root of 100116610 is about 464.3392318359.

Adding to 100116610 its reverse (16611001), we get a palindrome (116727611).

The spelling of 100116610 in words is "one hundred million, one hundred sixteen thousand, six hundred ten".