10772100 has 54 divisors (see below), whose sum is σ = 33767370. Its totient is φ = 2872320.

The previous prime is 10772093. The next prime is 10772129. The reversal of 10772100 is 127701.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 10771524 = 24^2 + 3282^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5085 + ... + 6884.

Almost surely, 2^10772100 is an apocalyptic number.

10772100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10772100 is an abundant number, since it is smaller than the sum of its proper divisors (22995270).

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

10772100 is a wasteful number, since it uses less digits than its factorization.

10772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11989 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10772100 is about 3282.0877501980. The cubic root of 10772100 is about 220.8513841501.

Adding to 10772100 its reverse (127701), we get a palindrome (10899801).

The spelling of 10772100 in words is "ten million, seven hundred seventy-two thousand, one hundred".