105977880 has 48 divisors (see below), whose sum is σ = 344429280. Its totient is φ = 28260672.

The previous prime is 105977867. The next prime is 105977891. The reversal of 105977880 is 88779501.

It is a super-2 number, since 2×105977880² = 22462622098588800, 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 11 ways as a sum of consecutive naturals, for example, 146832 + ... + 147551.

It is an arithmetic number, because the mean of its divisors is an integer number (7175610).

Almost surely, 2^105977880 is an apocalyptic number.

105977880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105977880 is an abundant number, since it is smaller than the sum of its proper divisors (238451400).

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

105977880 is a wasteful number, since it uses less digits than its factorization.

105977880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294400 (or 294393 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 105977880 is about 10294.5558427744. Note that the first 3 decimals coincide. The cubic root of 105977880 is about 473.2294268162.

The spelling of 105977880 in words is "one hundred five million, nine hundred seventy-seven thousand, eight hundred eighty".