105978 has 16 divisors (see below), whose sum is σ = 224640. Its totient is φ = 33216.

The previous prime is 105977. The next prime is 105983. The reversal of 105978 is 879501.

It is a super-2 number, since 2×105978² = 22462672968, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (105971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2¹⁰⁵⁹⁷⁸ is an apocalyptic number.

105978 is an abundant number, since it is smaller than the sum of its proper divisors (118662).

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

105978 is a wasteful number, since it uses less digits than its factorization.

105978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 105978 is about 325.5426239373. The cubic root of 105978 is about 47.3229605431.

The spelling of 105978 in words is "one hundred five thousand, nine hundred seventy-eight".