109599961 has 15 divisors (see below), whose sum is σ = 119815631. Its totient is φ = 100251144.

The previous prime is 109599871. The next prime is 109599979. The reversal of 109599961 is 169995901.

The square root of 109599961 is 10469.

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

It can be written as a sum of positive squares in only one way, i.e., 57471561 + 52128400 = 7581^2 + 7220^2 .

It is not a de Polignac number, because 109599961 - 2¹¹ = 109597913 is a prime.

It is a super-3 number, since 3×109599961³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109599361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3779295 + ... + 3779323.

Almost surely, 2^109599961 is an apocalyptic number.

109599961 is the 10469-th square number.

109599961 is the 5235-th centered octagonal number.

It is an amenable number.

109599961 is a deficient number, since it is larger than the sum of its proper divisors (10215670).

109599961 is an frugal number, since it uses more digits than its factorization.

109599961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 49.

The cubic root of 109599961 is about 478.5604453791.

Multiplying 109599961 by its sum of digits (49), we get a square (5370398089 = 73283²).

The spelling of 109599961 in words is "one hundred nine million, five hundred ninety-nine thousand, nine hundred sixty-one".