106980256 has 24 divisors (see below), whose sum is σ = 217413504. Its totient is φ = 51764160.

The previous prime is 106980253. The next prime is 106980257. The reversal of 106980256 is 652089601.

It is a super-2 number, since 2×106980256² = 22889550347651072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106980253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52930 + ... + 54913.

It is an arithmetic number, because the mean of its divisors is an integer number (9058896).

Almost surely, 2^106980256 is an apocalyptic number.

106980256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106980256 is an abundant number, since it is smaller than the sum of its proper divisors (110433248).

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

106980256 is a wasteful number, since it uses less digits than its factorization.

106980256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107884 (or 107876 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 106980256 is about 10343.1260264970. The cubic root of 106980256 is about 474.7167374834.

The spelling of 106980256 in words is "one hundred six million, nine hundred eighty thousand, two hundred fifty-six".