107066560 has 112 divisors (see below), whose sum is σ = 270369792. Its totient is φ = 40320000.

The previous prime is 107066551. The next prime is 107066627. The reversal of 107066560 is 65660701.

It is a super-2 number, since 2×107066560² = 22926496540467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 15 ways as a sum of consecutive naturals, for example, 426435 + ... + 426685.

It is an arithmetic number, because the mean of its divisors is an integer number (2414016).

Almost surely, 2^107066560 is an apocalyptic number.

107066560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

107066560 is an abundant number, since it is smaller than the sum of its proper divisors (163303232).

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

107066560 is a wasteful number, since it uses less digits than its factorization.

107066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 107066560 is about 10347.2972316446. The cubic root of 107066560 is about 474.8443589797.

The spelling of 107066560 in words is "one hundred seven million, sixty-six thousand, five hundred sixty".