106364864 has 28 divisors (see below), whose sum is σ = 211747608. Its totient is φ = 53011200.

The previous prime is 106364861. The next prime is 106364873. The reversal of 106364864 is 468463601.

It is a super-2 number, since 2×106364864² = 22626968587476992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106364861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18674 + ... + 23694.

Almost surely, 2^106364864 is an apocalyptic number.

It is an amenable number.

106364864 is a deficient number, since it is larger than the sum of its proper divisors (105382744).

106364864 is an equidigital number, since it uses as much as digits as its factorization.

106364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 106364864 is about 10313.3342814048. The cubic root of 106364864 is about 473.8047348014.

The spelling of 106364864 in words is "one hundred six million, three hundred sixty-four thousand, eight hundred sixty-four".