106725931048737 has 384 divisors, whose sum is σ = 224245611233280. Its totient is φ = 47087054784000.

The previous prime is 106725931048733. The next prime is 106725931048739. The reversal of 106725931048737 is 737840139527601.

106725931048737 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 2 + 593 + 1 + 0 + 4 + 8 + 7 + 37 = 666.

It is not a de Polignac number, because 106725931048737 - 2² = 106725931048733 is a prime.

It is a super-2 number, since 2×106725931048737² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (106725931048733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 814194912 + ... + 814325982.

It is an arithmetic number, because the mean of its divisors is an integer number (583972945920).

It is a 2-persistent number, because it is pandigital, and so is 2⋅106725931048737 = 213451862097474, but 3⋅106725931048737 = 320177793146211 is not.

Almost surely, 2^{106725931048737} is an apocalyptic number.

It is an amenable number.

106725931048737 is an abundant number, since it is smaller than the sum of its proper divisors (117519680184543).

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

106725931048737 is a wasteful number, since it uses less digits than its factorization.

106725931048737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131265 (or 131262 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 106725931048737 in words is "one hundred six trillion, seven hundred twenty-five billion, nine hundred thirty-one million, forty-eight thousand, seven hundred thirty-seven".