107264628 has 96 divisors (see below), whose sum is σ = 302601600. Its totient is φ = 32721408.

The previous prime is 107264627. The next prime is 107264639. The reversal of 107264628 is 826462701.

107264628 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 646 + 2 + 8 = 666.

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 = 107264592 and 107264601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107264623) 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, 67143 + ... + 68721.

It is an arithmetic number, because the mean of its divisors is an integer number (3152100).

Almost surely, 2^107264628 is an apocalyptic number.

107264628 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 107264628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151300800).

107264628 is an abundant number, since it is smaller than the sum of its proper divisors (195336972).

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

107264628 is a wasteful number, since it uses less digits than its factorization.

107264628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 107264628 is about 10356.8638110192. The cubic root of 107264628 is about 475.1369916969.

The spelling of 107264628 in words is "one hundred seven million, two hundred sixty-four thousand, six hundred twenty-eight".