109821264 has 80 divisors (see below), whose sum is σ = 325395840. Its totient is φ = 31265280.

The previous prime is 109821233. The next prime is 109821277. The reversal of 109821264 is 462128901.

It is a congruent 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, 154542 + ... + 155250.

It is an arithmetic number, because the mean of its divisors is an integer number (4067448).

Almost surely, 2^109821264 is an apocalyptic number.

109821264 is a gapful number since it is divisible by the number (14) 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 109821264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162697920).

109821264 is an abundant number, since it is smaller than the sum of its proper divisors (215574576).

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

109821264 is a wasteful number, since it uses less digits than its factorization.

109821264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 109821264 is about 10479.5641130726. The cubic root of 109821264 is about 478.8823301047.

It can be divided in two parts, 10982 and 1264, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 109821264 in words is "one hundred nine million, eight hundred twenty-one thousand, two hundred sixty-four".