109971967 has 16 divisors (see below), whose sum is σ = 128008192. Its totient is φ = 92534400.

The previous prime is 109971949. The next prime is 109972003. The reversal of 109971967 is 769179901.

It is a happy number.

It is not a de Polignac number, because 109971967 - 2⁷ = 109971839 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 109971967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109971937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90967 + ... + 92167.

It is an arithmetic number, because the mean of its divisors is an integer number (8000512).

Almost surely, 2^109971967 is an apocalyptic number.

109971967 is a deficient number, since it is larger than the sum of its proper divisors (18036225).

109971967 is a wasteful number, since it uses less digits than its factorization.

109971967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438.

The product of its (nonzero) digits is 214326, while the sum is 49.

The square root of 109971967 is about 10486.7519757073. The cubic root of 109971967 is about 479.1012798625.

The spelling of 109971967 in words is "one hundred nine million, nine hundred seventy-one thousand, nine hundred sixty-seven".