106779684256 has 48 divisors (see below), whose sum is σ = 240302510784. Its totient is φ = 45753537024.

The previous prime is 106779684217. The next prime is 106779684301. The reversal of 106779684256 is 652486977601.

It is a happy number.

It is a super-2 number, since 2×106779684256² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106779684194 and 106779684203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135951 + ... + 1226353.

It is an arithmetic number, because the mean of its divisors is an integer number (5006302308).

Almost surely, 2^106779684256 is an apocalyptic number.

106779684256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106779684256 is an abundant number, since it is smaller than the sum of its proper divisors (133522826528).

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

106779684256 is an equidigital number, since it uses as much as digits as its factorization.

106779684256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95693 (or 95685 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 106779684256 in words is "one hundred six billion, seven hundred seventy-nine million, six hundred eighty-four thousand, two hundred fifty-six".