105537792 has 72 divisors (see below), whose sum is σ = 283298400. Its totient is φ = 34877440.

The previous prime is 105537709. The next prime is 105537811. The reversal of 105537792 is 297735501.

It is a super-2 number, since 2×105537792² = 22276451080470528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105537792.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100084 + ... + 101132.

It is an arithmetic number, because the mean of its divisors is an integer number (3934700).

Almost surely, 2^105537792 is an apocalyptic number.

105537792 is a gapful number since it is divisible by the number (12) 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 105537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141649200).

105537792 is an abundant number, since it is smaller than the sum of its proper divisors (177760608).

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

105537792 is a wasteful number, since it uses less digits than its factorization.

105537792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 105537792 is about 10273.1588131402. The cubic root of 105537792 is about 472.5734674822.

The spelling of 105537792 in words is "one hundred five million, five hundred thirty-seven thousand, seven hundred ninety-two".