107142966 has 32 divisors (see below), whose sum is σ = 272110080. Its totient is φ = 30612168.

The previous prime is 107142961. The next prime is 107142989. The reversal of 107142966 is 669241701.

It is a super-2 number, since 2×107142966² = 22959230326554312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107142966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107142961) 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, 141346 + ... + 142101.

It is an arithmetic number, because the mean of its divisors is an integer number (8503440).

Almost surely, 2^107142966 is an apocalyptic number.

107142966 is an abundant number, since it is smaller than the sum of its proper divisors (164967114).

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

107142966 is a wasteful number, since it uses less digits than its factorization.

107142966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283465 (or 283459 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107142966 is about 10350.9886484335. The cubic root of 107142966 is about 474.9572866486.

The spelling of 107142966 in words is "one hundred seven million, one hundred forty-two thousand, nine hundred sixty-six".