109820248967 has 32 divisors (see below), whose sum is σ = 130596211200. Its totient is φ = 91037520000.

The previous prime is 109820248949. The next prime is 109820248991. The reversal of 109820248967 is 769842028901.

It is a cyclic number.

It is not a de Polignac number, because 109820248967 - 2⁶ = 109820248903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109820248067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3894284 + ... + 3922382.

It is an arithmetic number, because the mean of its divisors is an integer number (4081131600).

Almost surely, 2^109820248967 is an apocalyptic number.

109820248967 is a deficient number, since it is larger than the sum of its proper divisors (20775962233).

109820248967 is a wasteful number, since it uses less digits than its factorization.

109820248967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28455.

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 109820248967 in words is "one hundred nine billion, eight hundred twenty million, two hundred forty-eight thousand, nine hundred sixty-seven".