106713427872 has 48 divisors (see below), whose sum is σ = 280954058112. Its totient is φ = 35465579520.

The previous prime is 106713427841. The next prime is 106713427879. The reversal of 106713427872 is 278724317601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106713427872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106713427879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616904 + ... + 1681607.

It is an arithmetic number, because the mean of its divisors is an integer number (5853209544).

Almost surely, 2^106713427872 is an apocalyptic number.

106713427872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106713427872 is an abundant number, since it is smaller than the sum of its proper divisors (174240630240).

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

106713427872 is a wasteful number, since it uses less digits than its factorization.

106713427872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298861 (or 3298853 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 106713427872 in words is "one hundred six billion, seven hundred thirteen million, four hundred twenty-seven thousand, eight hundred seventy-two".