105689880 has 64 divisors (see below), whose sum is σ = 352303200. Its totient is φ = 28183680.

The previous prime is 105689869. The next prime is 105689893. The reversal of 105689880 is 88986501.

105689880 is a `hidden beast` number, since 1 + 0 + 568 + 9 + 8 + 80 = 666.

It is a super-2 number, since 2×105689880² = 22340701468828800, 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 15 ways as a sum of consecutive naturals, for example, 47851 + ... + 50010.

Almost surely, 2^105689880 is an apocalyptic number.

105689880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105689880 is an abundant number, since it is smaller than the sum of its proper divisors (246613320).

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

105689880 is a wasteful number, since it uses less digits than its factorization.

105689880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97881 (or 97871 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 105689880 is about 10280.5583505956. The cubic root of 105689880 is about 472.8003633175.

The spelling of 105689880 in words is "one hundred five million, six hundred eighty-nine thousand, eight hundred eighty".