106637570880 has 224 divisors, whose sum is σ = 341255835648. Its totient is φ = 28212480000.

The previous prime is 106637570873. The next prime is 106637570987. The reversal of 106637570880 is 88075736601.

It is a super-2 number, since 2×106637570880² (a number of 23 digits) 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74937849 + ... + 74939271.

It is an arithmetic number, because the mean of its divisors is an integer number (1523463552).

Almost surely, 2^106637570880 is an apocalyptic number.

106637570880 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 106637570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170627917824).

106637570880 is an abundant number, since it is smaller than the sum of its proper divisors (234618264768).

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

106637570880 is a wasteful number, since it uses less digits than its factorization.

106637570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 106637570880 in words is "one hundred six billion, six hundred thirty-seven million, five hundred seventy thousand, eight hundred eighty".