101160100 has 18 divisors (see below), whose sum is σ = 219517634. Its totient is φ = 40464000.

The previous prime is 101160077. The next prime is 101160107. The reversal of 101160100 is 1061101.

It can be written as a sum of positive squares in 3 ways, for example, as 3268864 + 97891236 = 1808^2 + 9894^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101160107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505701 + ... + 505900.

Almost surely, 2^101160100 is an apocalyptic number.

101160100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101160100 is an abundant number, since it is smaller than the sum of its proper divisors (118357534).

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

101160100 is a wasteful number, since it uses less digits than its factorization.

101160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011615 (or 1011608 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101160100 is about 10057.8377397928. The cubic root of 101160100 is about 465.9468892666.

The spelling of 101160100 in words is "one hundred one million, one hundred sixty thousand, one hundred".