105722928 has 160 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 33384960.

The previous prime is 105722917. The next prime is 105722959. The reversal of 105722928 is 829227501.

It is a super-2 number, since 2×105722928² = 22354675009786368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105722892 and 105722901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832401 + ... + 832527.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 2^105722928 is an apocalyptic number.

105722928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105722928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

105722928 is an abundant number, since it is smaller than the sum of its proper divisors (214256592).

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

105722928 is a wasteful number, since it uses less digits than its factorization.

105722928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105722928 is about 10282.1655306652. The cubic root of 105722928 is about 472.8496379125.

The spelling of 105722928 in words is "one hundred five million, seven hundred twenty-two thousand, nine hundred twenty-eight".