105749424 has 120 divisors (see below), whose sum is σ = 326546064. Its totient is φ = 31680000.

The previous prime is 105749381. The next prime is 105749429. The reversal of 105749424 is 424947501.

It is a happy number.

It is a super-2 number, since 2×105749424² = 22365881352663552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105749429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159654 + ... + 160314.

Almost surely, 2^105749424 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 105749424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163273032).

105749424 is an abundant number, since it is smaller than the sum of its proper divisors (220796640).

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

105749424 is a wasteful number, since it uses less digits than its factorization.

105749424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 105749424 is about 10283.4538944851. The cubic root of 105749424 is about 472.8891360540.

The spelling of 105749424 in words is "one hundred five million, seven hundred forty-nine thousand, four hundred twenty-four".