100508772 has 48 divisors (see below), whose sum is σ = 288643712. Its totient is φ = 26507520.

The previous prime is 100508747. The next prime is 100508813. The reversal of 100508772 is 277805001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44929 + ... + 47112.

Almost surely, 2^100508772 is an apocalyptic number.

100508772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100508772 is an abundant number, since it is smaller than the sum of its proper divisors (188134940).

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

100508772 is a wasteful number, since it uses less digits than its factorization.

100508772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92068 (or 92066 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 100508772 is about 10025.4063259301. The cubic root of 100508772 is about 464.9447222994.

The spelling of 100508772 in words is "one hundred million, five hundred eight thousand, seven hundred seventy-two".