105425628 has 96 divisors (see below), whose sum is σ = 311205888. Its totient is φ = 26980800.

The previous prime is 105425609. The next prime is 105425659. The reversal of 105425628 is 826524501.

It is a super-2 number, since 2×105425628² = 22229126078388768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64801 + ... + 66407.

It is an arithmetic number, because the mean of its divisors is an integer number (3241728).

Almost surely, 2^105425628 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 105425628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155602944).

105425628 is an abundant number, since it is smaller than the sum of its proper divisors (205780260).

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

105425628 is a wasteful number, since it uses less digits than its factorization.

105425628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 105425628 is about 10267.6982815040. The cubic root of 105425628 is about 472.4059934478.

The spelling of 105425628 in words is "one hundred five million, four hundred twenty-five thousand, six hundred twenty-eight".