106272556056576 has 2052 divisors, whose sum is σ = 403494192332868. Its totient is φ = 27738979172352.

The previous prime is 106272556056553. The next prime is 106272556056617. The reversal of 106272556056576 is 675650655272601.

106272556056576 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 2 + 5 + 5 + 6 + 0 + 56 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30423784882176 + 75848771174400 = 5515776^2 + 8709120^2 .

It is a super-2 number, since 2×106272556056576² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1095593361360 + ... + 1095593361456.

Almost surely, 2^{106272556056576} is an apocalyptic number.

106272556056576 is a gapful number since it is divisible by the number (16) 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 106272556056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201747096166434).

106272556056576 is an abundant number, since it is smaller than the sum of its proper divisors (297221636276292).

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

106272556056576 is an frugal number, since it uses more digits than its factorization.

106272556056576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 106272556056576 in words is "one hundred six trillion, two hundred seventy-two billion, five hundred fifty-six million, fifty-six thousand, five hundred seventy-six".