109076352 has 384 divisors, whose sum is σ = 401863680. Its totient is φ = 25804800.

The previous prime is 109076351. The next prime is 109076371. The reversal of 109076352 is 253670901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109076351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3518577 + ... + 3518607.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 2^109076352 is an apocalyptic number.

109076352 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 109076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200931840).

109076352 is an abundant number, since it is smaller than the sum of its proper divisors (292787328).

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

109076352 is a wasteful number, since it uses less digits than its factorization.

109076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 109076352 is about 10443.9624664205. The cubic root of 109076352 is about 477.7971280106.

The spelling of 109076352 in words is "one hundred nine million, seventy-six thousand, three hundred fifty-two".