106492960 has 48 divisors (see below), whose sum is σ = 287534016. Its totient is φ = 36511488.

The previous prime is 106492957. The next prime is 106492987. The reversal of 106492960 is 69294601.

It is a super-2 number, since 2×106492960² = 22681501059123200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46422 + ... + 48661.

It is an arithmetic number, because the mean of its divisors is an integer number (5990292).

Almost surely, 2^106492960 is an apocalyptic number.

106492960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106492960 is an abundant number, since it is smaller than the sum of its proper divisors (181041056).

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

106492960 is an equidigital number, since it uses as much as digits as its factorization.

106492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95105 (or 95097 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 106492960 is about 10319.5426255237. The cubic root of 106492960 is about 473.9948606919.

The spelling of 106492960 in words is "one hundred six million, four hundred ninety-two thousand, nine hundred sixty".