105113628 has 72 divisors (see below), whose sum is σ = 274201200. Its totient is φ = 33935616.

The previous prime is 105113609. The next prime is 105113639. The reversal of 105113628 is 826311501.

It is a super-2 number, since 2×105113628² = 22097749582644768, which contains 22 as substring.

It is a congruent number.

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, 169503 + ... + 170121.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^105113628 is an apocalyptic number.

105113628 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 105113628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

105113628 is an abundant number, since it is smaller than the sum of its proper divisors (169087572).

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

105113628 is a wasteful number, since it uses less digits than its factorization.

105113628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105113628 is about 10252.4937454260. The cubic root of 105113628 is about 471.9395151356.

The spelling of 105113628 in words is "one hundred five million, one hundred thirteen thousand, six hundred twenty-eight".