101306079 has 32 divisors (see below), whose sum is σ = 175040000. Its totient is φ = 57883896.

The previous prime is 101306071. The next prime is 101306083. The reversal of 101306079 is 970603101.

It is not a de Polignac number, because 101306079 - 2³ = 101306071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101306071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3792 + ... + 14730.

It is an arithmetic number, because the mean of its divisors is an integer number (5470000).

Almost surely, 2^101306079 is an apocalyptic number.

101306079 is a deficient number, since it is larger than the sum of its proper divisors (73733921).

101306079 is an equidigital number, since it uses as much as digits as its factorization.

101306079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10969 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 101306079 is about 10065.0921009199. The cubic root of 101306079 is about 466.1709096368.

The spelling of 101306079 in words is "one hundred one million, three hundred six thousand, seventy-nine".