106721155125 has 240 divisors, whose sum is σ = 220191409152. Its totient is φ = 51383030400.

The previous prime is 106721155097. The next prime is 106721155127. The reversal of 106721155125 is 521551127601.

106721155125 is a `hidden beast` number, since 1 + 0 + 6 + 72 + 11 + 551 + 25 = 666.

It is not a de Polignac number, because 106721155125 - 2²² = 106716960821 is a prime.

It is a super-2 number, since 2×106721155125² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106721155125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106721155127) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 80422212 + ... + 80423538.

Almost surely, 2^106721155125 is an apocalyptic number.

106721155125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106721155125 is an abundant number, since it is smaller than the sum of its proper divisors (113470254027).

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

106721155125 is a wasteful number, since it uses less digits than its factorization.

106721155125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 106721155125 in words is "one hundred six billion, seven hundred twenty-one million, one hundred fifty-five thousand, one hundred twenty-five".