105879960 has 112 divisors (see below), whose sum is σ = 357279840. Its totient is φ = 28226880.

The previous prime is 105879953. The next prime is 105880009. The reversal of 105879960 is 69978501.

105879960 is a `hidden beast` number, since 1 + 0 + 587 + 9 + 9 + 60 = 666.

It is a super-2 number, since 2×105879960² = 22421131859203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27345 + ... + 30975.

Almost surely, 2^105879960 is an apocalyptic number.

105879960 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 105879960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178639920).

105879960 is an abundant number, since it is smaller than the sum of its proper divisors (251399880).

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

105879960 is an equidigital number, since it uses as much as digits as its factorization.

105879960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 105879960 is about 10289.7988318528. The cubic root of 105879960 is about 473.0836325411.

It can be divided in two parts, 1058 and 79960, that added together give a palindrome (81018).

The spelling of 105879960 in words is "one hundred five million, eight hundred seventy-nine thousand, nine hundred sixty".