107976 has 32 divisors (see below), whose sum is σ = 295200. Its totient is φ = 32640.

The previous prime is 107971. The next prime is 107981. The reversal of 107976 is 679701.

It is an interprime number because it is at equal distance from previous prime (107971) and next prime (107981).

It is not an unprimeable number, because it can be changed into a prime (107971) by changing a digit.

107976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2¹⁰⁷⁹⁷⁶ is an apocalyptic number.

107976 is the 176-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147600).

107976 is an abundant number, since it is smaller than the sum of its proper divisors (187224).

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

107976 is a wasteful number, since it uses less digits than its factorization.

107976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 107976 is about 328.5970176371. The cubic root of 107976 is about 47.6185037398.

The spelling of 107976 in words is "one hundred seven thousand, nine hundred seventy-six".