105642592 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 45427200.

The previous prime is 105642577. The next prime is 105642599. The reversal of 105642592 is 295246501.

It is a happy number.

It is a super-2 number, since 2×105642592² = 22320714488956928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105642599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806367 + ... + 806497.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^105642592 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 105642592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

105642592 is an abundant number, since it is smaller than the sum of its proper divisors (133858208).

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

105642592 is a wasteful number, since it uses less digits than its factorization.

105642592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 105642592 is about 10278.2582182002. The cubic root of 105642592 is about 472.7298390035.

The spelling of 105642592 in words is "one hundred five million, six hundred forty-two thousand, five hundred ninety-two".