107666532 has 72 divisors (see below), whose sum is σ = 281454264. Its totient is φ = 34684416.

The previous prime is 107666497. The next prime is 107666543. The reversal of 107666532 is 235666701.

It can be written as a sum of positive squares in 4 ways, for example, as 7986276 + 99680256 = 2826^2 + 9984^2 .

It is a super-2 number, since 2×107666532² = 23184164225814048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138898 + ... + 139670.

It is an arithmetic number, because the mean of its divisors is an integer number (3909087).

Almost surely, 2^107666532 is an apocalyptic number.

107666532 is a gapful number since it is divisible by the number (12) 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 107666532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140727132).

107666532 is an abundant number, since it is smaller than the sum of its proper divisors (173787732).

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

107666532 is a wasteful number, since it uses less digits than its factorization.

107666532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 107666532 is about 10376.2484550053. The cubic root of 107666532 is about 475.7296737325.

The spelling of 107666532 in words is "one hundred seven million, six hundred sixty-six thousand, five hundred thirty-two".