106239564 has 72 divisors (see below), whose sum is σ = 285143040. Its totient is φ = 33257952.

The previous prime is 106239521. The next prime is 106239593. The reversal of 106239564 is 465932601.

It is a happy number.

106239564 is a `hidden beast` number, since 1 + 0 + 62 + 39 + 564 = 666.

It is a super-2 number, since 2×106239564² = 22573689917820192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86257 + ... + 87479.

It is an arithmetic number, because the mean of its divisors is an integer number (3960320).

Almost surely, 2^106239564 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 106239564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

106239564 is an abundant number, since it is smaller than the sum of its proper divisors (178903476).

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

106239564 is a wasteful number, since it uses less digits than its factorization.

106239564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106239564 is about 10307.2578312566. The cubic root of 106239564 is about 473.6186111184.

The spelling of 106239564 in words is "one hundred six million, two hundred thirty-nine thousand, five hundred sixty-four".