100828647 has 24 divisors (see below), whose sum is σ = 150844928. Its totient is φ = 64832400.

The previous prime is 100828639. The next prime is 100828661. The reversal of 100828647 is 746828001.

100828647 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 8 + 647 = 666.

It is not a de Polignac number, because 100828647 - 2³ = 100828639 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100828627) 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, 145572 + ... + 146262.

Almost surely, 2^100828647 is an apocalyptic number.

100828647 is a deficient number, since it is larger than the sum of its proper divisors (50016281).

100828647 is a wasteful number, since it uses less digits than its factorization.

100828647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 100828647 is about 10041.3468718096. The cubic root of 100828647 is about 465.4374378240.

It can be divided in two parts, 100828 and 647, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 100828647 in words is "one hundred million, eight hundred twenty-eight thousand, six hundred forty-seven".