106725157184052 has 144 divisors (see below), whose sum is σ = 296566571980224. Its totient is φ = 32092721856000.

The previous prime is 106725157184033. The next prime is 106725157184083. The reversal of 106725157184052 is 250481751527601.

106725157184052 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 2 + 515 + 71 + 8 + 4 + 0 + 52 = 666.

It is a super-2 number, since 2×106725157184052² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106725157184052.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 46185027 + ... + 48440757.

It is an arithmetic number, because the mean of its divisors is an integer number (2059490083196).

Almost surely, 2^{106725157184052} is an apocalyptic number.

106725157184052 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 106725157184052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148283285990112).

106725157184052 is an abundant number, since it is smaller than the sum of its proper divisors (189841414796172).

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

106725157184052 is a wasteful number, since it uses less digits than its factorization.

106725157184052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256670 (or 2256665 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 106725157184052 in words is "one hundred six trillion, seven hundred twenty-five billion, one hundred fifty-seven million, one hundred eighty-four thousand, fifty-two".