101116057 has 8 divisors (see below), whose sum is σ = 117920000. Its totient is φ = 86670612.

The previous prime is 101116031. The next prime is 101116061. The reversal of 101116057 is 750611101.

It is not a de Polignac number, because 101116057 - 2¹¹ = 101114009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101116097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147057 + ... + 147742.

It is an arithmetic number, because the mean of its divisors is an integer number (14740000).

Almost surely, 2^101116057 is an apocalyptic number.

It is an amenable number.

101116057 is a deficient number, since it is larger than the sum of its proper divisors (16803943).

101116057 is an frugal number, since it uses more digits than its factorization.

101116057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294820 (or 294806 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 22.

The square root of 101116057 is about 10055.6480149218. The cubic root of 101116057 is about 465.8792582612.

Adding to 101116057 its reverse (750611101), we get a palindrome (851727158).

The spelling of 101116057 in words is "one hundred one million, one hundred sixteen thousand, fifty-seven".