109276416 has 108 divisors (see below), whose sum is σ = 322690368. Its totient is φ = 35546112.

The previous prime is 109276399. The next prime is 109276421. The reversal of 109276416 is 614672901.

109276416 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 7 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98521 + ... + 99623.

Almost surely, 2^109276416 is an apocalyptic number.

109276416 is a gapful number since it is divisible by the number (16) 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 109276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161345184).

109276416 is an abundant number, since it is smaller than the sum of its proper divisors (213413952).

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

109276416 is a wasteful number, since it uses less digits than its factorization.

109276416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 109276416 is about 10453.5360524561. The cubic root of 109276416 is about 478.0890691440.

The spelling of 109276416 in words is "one hundred nine million, two hundred seventy-six thousand, four hundred sixteen".