109667607921 has 27 divisors (see below), whose sum is σ = 159604461003. Its totient is φ = 72563998320.

The previous prime is 109667607913. The next prime is 109667607961. The reversal of 109667607921 is 129706766901.

The square root of 109667607921 is 331161.

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

109667607921 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 6 + 7 + 607 + 9 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87077517921 + 22590090000 = 295089^2 + 150300^2 .

It is not a de Polignac number, because 109667607921 - 2³ = 109667607913 is a prime.

It is a super-2 number, since 2×109667607921² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109667607961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165911331 + ... + 165911991.

Almost surely, 2^109667607921 is an apocalyptic number.

109667607921 is the 331161-st square number.

109667607921 is the 165581-st centered octagonal number.

It is an amenable number.

109667607921 is a deficient number, since it is larger than the sum of its proper divisors (49936853082).

109667607921 is an frugal number, since it uses more digits than its factorization.

109667607921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 109667607921 in words is "one hundred nine billion, six hundred sixty-seven million, six hundred seven thousand, nine hundred twenty-one".