105492864 has 96 divisors (see below), whose sum is σ = 296128440. Its totient is φ = 33269760.

The previous prime is 105492839. The next prime is 105492899. The reversal of 105492864 is 468294501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105492864² = 22257488709844992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138244 + ... + 139004.

Almost surely, 2^105492864 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 105492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148064220).

105492864 is an abundant number, since it is smaller than the sum of its proper divisors (190635576).

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

105492864 is an equidigital number, since it uses as much as digits as its factorization.

105492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 105492864 is about 10270.9719111679. The cubic root of 105492864 is about 472.5063989503.

The spelling of 105492864 in words is "one hundred five million, four hundred ninety-two thousand, eight hundred sixty-four".