106789397560 has 32 divisors (see below), whose sum is σ = 240304766400. Its totient is φ = 42710670720.

The previous prime is 106789397537. The next prime is 106789397567. The reversal of 106789397560 is 65793987601.

It is a super-2 number, since 2×106789397560² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106789397567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190465 + ... + 499855.

It is an arithmetic number, because the mean of its divisors is an integer number (7509523950).

Almost surely, 2^106789397560 is an apocalyptic number.

106789397560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106789397560 is an abundant number, since it is smaller than the sum of its proper divisors (133515368840).

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

106789397560 is a wasteful number, since it uses less digits than its factorization.

106789397560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318031 (or 318027 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 106789397560 in words is "one hundred six billion, seven hundred eighty-nine million, three hundred ninety-seven thousand, five hundred sixty".