105422724 has 72 divisors (see below), whose sum is σ = 296255232. Its totient is φ = 31337280.

The previous prime is 105422719. The next prime is 105422741. The reversal of 105422724 is 427224501.

It is a super-2 number, since 2×105422724² = 22227901471160352, which contains 22 as substring.

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, 18477 + ... + 23499.

It is an arithmetic number, because the mean of its divisors is an integer number (4114656).

Almost surely, 2^105422724 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 105422724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148127616).

105422724 is an abundant number, since it is smaller than the sum of its proper divisors (190832508).

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

105422724 is a wasteful number, since it uses less digits than its factorization.

105422724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 105422724 is about 10267.5568661683. The cubic root of 105422724 is about 472.4016558573.

The spelling of 105422724 in words is "one hundred five million, four hundred twenty-two thousand, seven hundred twenty-four".