106812564 has 48 divisors (see below), whose sum is σ = 264938688. Its totient is φ = 33376768.

The previous prime is 106812557. The next prime is 106812571. The reversal of 106812564 is 465218601.

It is an interprime number because it is at equal distance from previous prime (106812557) and next prime (106812571).

It is a super-2 number, since 2×106812564² = 22817847656508192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58879 + ... + 60665.

It is an arithmetic number, because the mean of its divisors is an integer number (5519556).

Almost surely, 2^106812564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106812564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132469344).

106812564 is an abundant number, since it is smaller than the sum of its proper divisors (158126124).

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

106812564 is a wasteful number, since it uses less digits than its factorization.

106812564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 106812564 is about 10335.0164005675. The cubic root of 106812564 is about 474.4685676100.

The spelling of 106812564 in words is "one hundred six million, eight hundred twelve thousand, five hundred sixty-four".