105628860 has 60 divisors (see below), whose sum is σ = 331366728. Its totient is φ = 28167264.

The previous prime is 105628843. The next prime is 105628867. The reversal of 105628860 is 68826501.

It is a happy number.

105628860 is a `hidden beast` number, since 10 + 562 + 8 + 86 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105628860² = 22314912129799200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105628867) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30982 + ... + 34221.

Almost surely, 2^105628860 is an apocalyptic number.

105628860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105628860 is an abundant number, since it is smaller than the sum of its proper divisors (225737868).

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

105628860 is a wasteful number, since it uses less digits than its factorization.

105628860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65224 (or 65213 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105628860 is about 10277.5901844742. The cubic root of 105628860 is about 472.7093554488.

The spelling of 105628860 in words is "one hundred five million, six hundred twenty-eight thousand, eight hundred sixty".