106630560 has 96 divisors (see below), whose sum is σ = 373222080. Its totient is φ = 28433664.

The previous prime is 106630547. The next prime is 106630561. The reversal of 106630560 is 65036601.

106630560 is a `hidden beast` number, since 10 + 66 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106630560² = 22740152651827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106630561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8022 + ... + 16661.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2^106630560 is an apocalyptic number.

106630560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106630560 is an abundant number, since it is smaller than the sum of its proper divisors (266591520).

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

106630560 is a wasteful number, since it uses less digits than its factorization.

106630560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24707 (or 24693 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106630560 is about 10326.2074354528. The cubic root of 106630560 is about 474.1989230759.

It can be divided in two parts, 1066 and 30560, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 106630560 in words is "one hundred six million, six hundred thirty thousand, five hundred sixty".