105937920 has 396 divisors, whose sum is σ = 424711560. Its totient is φ = 24330240.

The previous prime is 105937879. The next prime is 105937927. The reversal of 105937920 is 29739501.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×105937920² = 22445685787852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105937927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5575671 + ... + 5575689.

Almost surely, 2^105937920 is an apocalyptic number.

105937920 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 105937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212355780).

105937920 is an abundant number, since it is smaller than the sum of its proper divisors (318773640).

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

105937920 is a wasteful number, since it uses less digits than its factorization.

105937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 105937920 is about 10292.6148281183. The cubic root of 105937920 is about 473.1699407387.

The spelling of 105937920 in words is "one hundred five million, nine hundred thirty-seven thousand, nine hundred twenty".