100805772 has 12 divisors (see below), whose sum is σ = 235213496. Its totient is φ = 33601920.

The previous prime is 100805743. The next prime is 100805813. The reversal of 100805772 is 277508001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4200229 + ... + 4200252.

Almost surely, 2^100805772 is an apocalyptic number.

100805772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100805772 is an abundant number, since it is smaller than the sum of its proper divisors (134407724).

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

100805772 is a wasteful number, since it uses less digits than its factorization.

100805772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400488 (or 8400486 counting only the distinct ones).

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

The square root of 100805772 is about 10040.2077667746. The cubic root of 100805772 is about 465.4022372239.

The spelling of 100805772 in words is "one hundred million, eight hundred five thousand, seven hundred seventy-two".