101131916 has 24 divisors (see below), whose sum is σ = 178827264. Its totient is φ = 50042000.

The previous prime is 101131879. The next prime is 101131967. The reversal of 101131916 is 619131101.

It is a junction number, because it is equal to n+sod(n) for n = 101131891 and 101131900.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 263861 + ... + 264243.

It is an arithmetic number, because the mean of its divisors is an integer number (7451136).

Almost surely, 2^101131916 is an apocalyptic number.

It is an amenable number.

101131916 is a deficient number, since it is larger than the sum of its proper divisors (77695348).

101131916 is a wasteful number, since it uses less digits than its factorization.

101131916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The square root of 101131916 is about 10056.4365458148. The cubic root of 101131916 is about 465.9036130905.

The spelling of 101131916 in words is "one hundred one million, one hundred thirty-one thousand, nine hundred sixteen".