107964467 has 12 divisors (see below), whose sum is σ = 123788520. Its totient is φ = 93794688.

The previous prime is 107964457. The next prime is 107964473. The reversal of 107964467 is 764469701.

It is not a de Polignac number, because 107964467 - 2²⁶ = 40855603 is a prime.

It is a super-2 number, since 2×107964467² = 23312652269188178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107964407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15917 + ... + 21662.

It is an arithmetic number, because the mean of its divisors is an integer number (10315710).

Almost surely, 2^107964467 is an apocalyptic number.

107964467 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

107964467 is a deficient number, since it is larger than the sum of its proper divisors (15824053).

107964467 is a wasteful number, since it uses less digits than its factorization.

107964467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37622 (or 37609 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 107964467 is about 10390.5951225134. The cubic root of 107964467 is about 476.1680828973.

The spelling of 107964467 in words is "one hundred seven million, nine hundred sixty-four thousand, four hundred sixty-seven".