106592941560 has 256 divisors, whose sum is σ = 381877493760. Its totient is φ = 23272634880.

The previous prime is 106592941547. The next prime is 106592941607. The reversal of 106592941560 is 65149295601.

It is a super-3 number, since 3×106592941560³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15665119 + ... + 15671921.

It is an arithmetic number, because the mean of its divisors is an integer number (1491708960).

Almost surely, 2^106592941560 is an apocalyptic number.

106592941560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106592941560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190938746880).

106592941560 is an abundant number, since it is smaller than the sum of its proper divisors (275284552200).

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

106592941560 is a wasteful number, since it uses less digits than its factorization.

106592941560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 106592941560 in words is "one hundred six billion, five hundred ninety-two million, nine hundred forty-one thousand, five hundred sixty".