105761628 has 72 divisors (see below), whose sum is σ = 306819968. Its totient is φ = 30090528.

The previous prime is 105761627. The next prime is 105761653. The reversal of 105761628 is 826167501.

105761628 is a `hidden beast` number, since 10 + 5 + 7 + 616 + 28 = 666.

It is a super-2 number, since 2×105761628² = 22371043914420768, 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 = 105761592 and 105761601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105761627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70575 + ... + 72057.

Almost surely, 2^105761628 is an apocalyptic number.

105761628 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 105761628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153409984).

105761628 is an abundant number, since it is smaller than the sum of its proper divisors (201058340).

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

105761628 is a wasteful number, since it uses less digits than its factorization.

105761628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1778 counting only the distinct ones).

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

The square root of 105761628 is about 10284.0472577677. The cubic root of 105761628 is about 472.9073265929.

The spelling of 105761628 in words is "one hundred five million, seven hundred sixty-one thousand, six hundred twenty-eight".