105572992 has 128 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 40943616.

The previous prime is 105572989. The next prime is 105573023. The reversal of 105572992 is 299275501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105572992² = 22291313279664128, which contains 22 as substring.

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, 441609 + ... + 441847.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^105572992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105572992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

105572992 is an abundant number, since it is smaller than the sum of its proper divisors (158811008).

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

105572992 is a wasteful number, since it uses less digits than its factorization.

105572992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 105572992 is about 10274.8718726805. The cubic root of 105572992 is about 472.6260007555.

It can be divided in two parts, 1055 and 72992, that added together give a palindrome (74047).

The spelling of 105572992 in words is "one hundred five million, five hundred seventy-two thousand, nine hundred ninety-two".