109216512 has 180 divisors, whose sum is σ = 341307120. Its totient is φ = 34670592.

The previous prime is 109216477. The next prime is 109216529. The reversal of 109216512 is 215612901.

109216512 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×109216512² = 23856492986892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476814 + ... + 477042.

Almost surely, 2^109216512 is an apocalyptic number.

109216512 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 109216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170653560).

109216512 is an abundant number, since it is smaller than the sum of its proper divisors (232090608).

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

109216512 is an equidigital number, since it uses as much as digits as its factorization.

109216512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 109216512 is about 10450.6704091173. The cubic root of 109216512 is about 478.0016923080.

The spelling of 109216512 in words is "one hundred nine million, two hundred sixteen thousand, five hundred twelve".