106090960 has 20 divisors (see below), whose sum is σ = 246661668. Its totient is φ = 42436352.

The previous prime is 106090921. The next prime is 106090979. The reversal of 106090960 is 69090601.

It can be written as a sum of positive squares in 2 ways, for example, as 54997056 + 51093904 = 7416^2 + 7148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106090960² = 22510583587443200, which contains 22 as substring.

It is a congruent number.

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, 662989 + ... + 663148.

Almost surely, 2^106090960 is an apocalyptic number.

106090960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106090960 is an abundant number, since it is smaller than the sum of its proper divisors (140570708).

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

106090960 is a wasteful number, since it uses less digits than its factorization.

106090960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326150 (or 1326144 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 106090960 is about 10300.0466018363. The cubic root of 106090960 is about 473.3976813044.

The spelling of 106090960 in words is "one hundred six million, ninety thousand, nine hundred sixty".