109072512 has 96 divisors (see below), whose sum is σ = 318412380. Its totient is φ = 35831808.

The previous prime is 109072511. The next prime is 109072519. The reversal of 109072512 is 215270901.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 16451136 = 9624^2 + 4056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (109072511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83448 + ... + 84744.

Almost surely, 2^109072512 is an apocalyptic number.

109072512 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 109072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159206190).

109072512 is an abundant number, since it is smaller than the sum of its proper divisors (209339868).

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

109072512 is a wasteful number, since it uses less digits than its factorization.

109072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 109072512 is about 10443.7786265317. The cubic root of 109072512 is about 477.7915210437.

The spelling of 109072512 in words is "one hundred nine million, seventy-two thousand, five hundred twelve".