105991520 has 96 divisors (see below), whose sum is σ = 264539520. Its totient is φ = 40069120.

The previous prime is 105991513. The next prime is 105991537. The reversal of 105991520 is 25199501.

It is a super-2 number, since 2×105991520² = 22468404623820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245705 + ... + 246135.

It is an arithmetic number, because the mean of its divisors is an integer number (2755620).

Almost surely, 2^105991520 is an apocalyptic number.

105991520 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 105991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760).

105991520 is an abundant number, since it is smaller than the sum of its proper divisors (158548000).

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

105991520 is a wasteful number, since it uses less digits than its factorization.

105991520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 32.

The square root of 105991520 is about 10295.2183075445. The cubic root of 105991520 is about 473.2497284505.

The spelling of 105991520 in words is "one hundred five million, nine hundred ninety-one thousand, five hundred twenty".