105144592 has 120 divisors (see below), whose sum is σ = 262590336. Its totient is φ = 40567296.

The previous prime is 105144577. The next prime is 105144647. The reversal of 105144592 is 295441501.

It is a super-2 number, since 2×105144592² = 22110770453692928, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4571493 + ... + 4571515.

Almost surely, 2^105144592 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 105144592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131295168).

105144592 is an abundant number, since it is smaller than the sum of its proper divisors (157445744).

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

105144592 is an frugal number, since it uses more digits than its factorization.

105144592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 105144592 is about 10254.0037058702. The cubic root of 105144592 is about 471.9858513426.

The spelling of 105144592 in words is "one hundred five million, one hundred forty-four thousand, five hundred ninety-two".