109916119296 has 81 divisors (see below), whose sum is σ = 316961159151. Its totient is φ = 36633401856.

The previous prime is 109916119289. The next prime is 109916119297. The reversal of 109916119296 is 692911619901.

It is a happy number.

The square root of 109916119296 is 331536.

It is a perfect power (a square), and thus also a powerful number.

109916119296 is a `hidden beast` number, since 10 + 9 + 9 + 1 + 611 + 9 + 2 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (109916119297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15910275 + ... + 15917181.

Almost surely, 2^109916119296 is an apocalyptic number.

109916119296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109916119296 is the 331536-th square number.

It is an amenable number.

109916119296 is an abundant number, since it is smaller than the sum of its proper divisors (207045039855).

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

109916119296 is an frugal number, since it uses more digits than its factorization.

109916119296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 54.

The spelling of 109916119296 in words is "one hundred nine billion, nine hundred sixteen million, one hundred nineteen thousand, two hundred ninety-six".