105628926 has 64 divisors (see below), whose sum is σ = 240242688. Its totient is φ = 30716928.

The previous prime is 105628907. The next prime is 105628927. The reversal of 105628926 is 629826501.

It is a super-2 number, since 2×105628926² = 22314940015826952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105628927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173715 + ... + 174321.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2^105628926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105628926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120121344).

105628926 is an abundant number, since it is smaller than the sum of its proper divisors (134613762).

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

105628926 is a wasteful number, since it uses less digits than its factorization.

105628926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 105628926 is about 10277.5933953431. The cubic root of 105628926 is about 472.7094539029.

The spelling of 105628926 in words is "one hundred five million, six hundred twenty-eight thousand, nine hundred twenty-six".