100772628 has 24 divisors (see below), whose sum is σ = 256512480. Its totient is φ = 30537120.

The previous prime is 100772627. The next prime is 100772647. The reversal of 100772628 is 826277001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100772627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381583 + ... + 381846.

It is an arithmetic number, because the mean of its divisors is an integer number (10688020).

Almost surely, 2^100772628 is an apocalyptic number.

It is an amenable number.

100772628 is an abundant number, since it is smaller than the sum of its proper divisors (155739852).

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

100772628 is a wasteful number, since it uses less digits than its factorization.

100772628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763447 (or 763445 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 100772628 is about 10038.5570676268. The cubic root of 100772628 is about 465.3512249908.

The spelling of 100772628 in words is "one hundred million, seven hundred seventy-two thousand, six hundred twenty-eight".