106561756 has 48 divisors (see below), whose sum is σ = 221276160. Its totient is φ = 43940160.

The previous prime is 106561727. The next prime is 106561771. The reversal of 106561756 is 657165601.

It is a super-2 number, since 2×106561756² = 22710815683607072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254115 + ... + 254533.

It is an arithmetic number, because the mean of its divisors is an integer number (4609920).

Almost surely, 2^106561756 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 106561756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110638080).

106561756 is an abundant number, since it is smaller than the sum of its proper divisors (114714404).

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

106561756 is a wasteful number, since it uses less digits than its factorization.

106561756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 106561756 is about 10322.8753746231. The cubic root of 106561756 is about 474.0969079102.

The spelling of 106561756 in words is "one hundred six million, five hundred sixty-one thousand, seven hundred fifty-six".