100766628 has 18 divisors (see below), whose sum is σ = 254715734. Its totient is φ = 33588864.

The previous prime is 100766591. The next prime is 100766629. The reversal of 100766628 is 826667001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100761444 + 5184 = 10038^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2799073 = 100766628 / (1 + 0 + 0 + 7 + 6 + 6 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 100766592 and 100766601.

It is not an unprimeable number, because it can be changed into a prime (100766629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1399501 + ... + 1399572.

Almost surely, 2^100766628 is an apocalyptic number.

100766628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100766628 is an abundant number, since it is smaller than the sum of its proper divisors (153949106).

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

100766628 is a wasteful number, since it uses less digits than its factorization.

100766628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799083 (or 2799078 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 100766628 is about 10038.2582154475. The cubic root of 100766628 is about 465.3419891403.

The spelling of 100766628 in words is "one hundred million, seven hundred sixty-six thousand, six hundred twenty-eight".