105987720 has 32 divisors (see below), whose sum is σ = 317963520. Its totient is φ = 28263360.

The previous prime is 105987709. The next prime is 105987727. The reversal of 105987720 is 27789501.

It is a super-2 number, since 2×105987720² = 22466793581596800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105987727) 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, 441496 + ... + 441735.

It is an arithmetic number, because the mean of its divisors is an integer number (9936360).

Almost surely, 2^105987720 is an apocalyptic number.

105987720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105987720 is an abundant number, since it is smaller than the sum of its proper divisors (211975800).

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

105987720 is a wasteful number, since it uses less digits than its factorization.

105987720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883245 (or 883241 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 105987720 is about 10295.0337541943. The cubic root of 105987720 is about 473.2440727450.

The spelling of 105987720 in words is "one hundred five million, nine hundred eighty-seven thousand, seven hundred twenty".