100772 has 24 divisors (see below), whose sum is σ = 208320. Its totient is φ = 41760.

The previous prime is 100769. The next prime is 100787. The reversal of 100772 is 277001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1622 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2¹⁰⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

100772 is an abundant number, since it is smaller than the sum of its proper divisors (107548).

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

100772 is a wasteful number, since it uses less digits than its factorization.

100772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 100772 is about 317.4460584099. The cubic root of 100772 is about 46.5350258322.

Adding to 100772 its reverse (277001), we get a palindrome (377773).

The spelling of 100772 in words is "one hundred thousand, seven hundred seventy-two", and thus it is an iban number.