109883961 has 24 divisors (see below), whose sum is σ = 173818944. Its totient is φ = 66339360.

The previous prime is 109883959. The next prime is 109883981. The reversal of 109883961 is 169388901.

It is not a de Polignac number, because 109883961 - 2¹ = 109883959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109883941) 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 23 ways as a sum of consecutive naturals, for example, 25420 + ... + 29426.

It is an arithmetic number, because the mean of its divisors is an integer number (7242456).

Almost surely, 2^109883961 is an apocalyptic number.

109883961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

109883961 is a deficient number, since it is larger than the sum of its proper divisors (63934983).

109883961 is a wasteful number, since it uses less digits than its factorization.

109883961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 109883961 is about 10482.5550797504. Note that the first 3 decimals coincide. The cubic root of 109883961 is about 478.9734441340.

The spelling of 109883961 in words is "one hundred nine million, eight hundred eighty-three thousand, nine hundred sixty-one".