106972960 has 24 divisors (see below), whose sum is σ = 252723996. Its totient is φ = 42789120.

The previous prime is 106972951. The next prime is 106972963. The reversal of 106972960 is 69279601.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 6091024 = 10044^2 + 2468^2 .

It is a super-2 number, since 2×106972960² = 22886428342323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (106972963) 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, 334131 + ... + 334450.

Almost surely, 2^106972960 is an apocalyptic number.

106972960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106972960 is an abundant number, since it is smaller than the sum of its proper divisors (145751036).

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

106972960 is an equidigital number, since it uses as much as digits as its factorization.

106972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668596 (or 668588 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 106972960 is about 10342.7733224701. The cubic root of 106972960 is about 474.7059454233.

The spelling of 106972960 in words is "one hundred six million, nine hundred seventy-two thousand, nine hundred sixty".