106561767844 has 45 divisors (see below), whose sum is σ = 217615995051. Its totient is φ = 45655618680.

The previous prime is 106561767817. The next prime is 106561767887. The reversal of 106561767844 is 448767165601.

It is a happy number.

The square root of 106561767844 is 326438.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×106561767844² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31989259 + ... + 31992589.

Almost surely, 2^106561767844 is an apocalyptic number.

106561767844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106561767844 is the 326438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106561767844

106561767844 is an abundant number, since it is smaller than the sum of its proper divisors (111054227207).

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

106561767844 is an frugal number, since it uses more digits than its factorization.

106561767844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 106561767844 in words is "one hundred six billion, five hundred sixty-one million, seven hundred sixty-seven thousand, eight hundred forty-four".