106079360 has 32 divisors (see below), whose sum is σ = 253597500. Its totient is φ = 42431488.

The previous prime is 106079359. The next prime is 106079399. The reversal of 106079360 is 63970601.

It can be written as a sum of positive squares in 2 ways, for example, as 96983104 + 9096256 = 9848^2 + 3016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106079360² = 22505661236019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82235 + ... + 83514.

Almost surely, 2^106079360 is an apocalyptic number.

106079360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106079360 is an abundant number, since it is smaller than the sum of its proper divisors (147518140).

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

106079360 is an equidigital number, since it uses as much as digits as its factorization.

106079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165768 (or 165756 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 106079360 is about 10299.4834821946. The cubic root of 106079360 is about 473.3804268866.

The spelling of 106079360 in words is "one hundred six million, seventy-nine thousand, three hundred sixty".