105257628 has 72 divisors (see below), whose sum is σ = 310582272. Its totient is φ = 29430432.

The previous prime is 105257609. The next prime is 105257653. The reversal of 105257628 is 826752501.

It is a happy number.

105257628 is a `hidden beast` number, since 1 + 0 + 5 + 25 + 7 + 628 = 666.

It is a super-2 number, since 2×105257628² = 22158336504372768, 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 = 105257592 and 105257601.

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, 7401 + ... + 16287.

Almost surely, 2^105257628 is an apocalyptic number.

105257628 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 105257628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155291136).

105257628 is an abundant number, since it is smaller than the sum of its proper divisors (205324644).

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

105257628 is a wasteful number, since it uses less digits than its factorization.

105257628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8951 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105257628 is about 10259.5140235783. The cubic root of 105257628 is about 472.1549273568.

The spelling of 105257628 in words is "one hundred five million, two hundred fifty-seven thousand, six hundred twenty-eight".