109202772 has 72 divisors (see below), whose sum is σ = 298068960. Its totient is φ = 31026240.

The previous prime is 109202767. The next prime is 109202833. The reversal of 109202772 is 277202901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134247 + ... + 135057.

Almost surely, 2^109202772 is an apocalyptic number.

109202772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109202772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149034480).

109202772 is an abundant number, since it is smaller than the sum of its proper divisors (188866188).

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

109202772 is a wasteful number, since it uses less digits than its factorization.

109202772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 109202772 is about 10450.0130143460. The cubic root of 109202772 is about 477.9816464420.

The spelling of 109202772 in words is "one hundred nine million, two hundred two thousand, seven hundred seventy-two".