106756015872 has 144 divisors (see below), whose sum is σ = 312040310400. Its totient is φ = 32132812800.

The previous prime is 106756015831. The next prime is 106756015937. The reversal of 106756015872 is 278510657601.

It is a super-2 number, since 2×106756015872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216347 + ... + 1301157.

It is an arithmetic number, because the mean of its divisors is an integer number (2166946600).

Almost surely, 2^106756015872 is an apocalyptic number.

106756015872 is a gapful number since it is divisible by the number (12) 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 106756015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156020155200).

106756015872 is an abundant number, since it is smaller than the sum of its proper divisors (205284294528).

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

106756015872 is a wasteful number, since it uses less digits than its factorization.

106756015872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84990 (or 84976 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 106756015872 in words is "one hundred six billion, seven hundred fifty-six million, fifteen thousand, eight hundred seventy-two".