106891664 has 20 divisors (see below), whose sum is σ = 225930480. Its totient is φ = 48587040.

The previous prime is 106891643. The next prime is 106891667. The reversal of 106891664 is 466198601.

It is a super-2 number, since 2×106891664² = 22851655665377792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106891667) 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, 303494 + ... + 303845.

It is an arithmetic number, because the mean of its divisors is an integer number (11296524).

Almost surely, 2^106891664 is an apocalyptic number.

It is an amenable number.

106891664 is an abundant number, since it is smaller than the sum of its proper divisors (119038816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106891664 is a wasteful number, since it uses less digits than its factorization.

106891664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607358 (or 607352 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 106891664 is about 10338.8424884027. The cubic root of 106891664 is about 474.5856612106.

The spelling of 106891664 in words is "one hundred six million, eight hundred ninety-one thousand, six hundred sixty-four".