106270030125 has 144 divisors (see below), whose sum is σ = 224232196032. Its totient is φ = 48278462400.

The previous prime is 106270030103. The next prime is 106270030127. The reversal of 106270030125 is 521030072601.

It is a happy number.

106270030125 is a `hidden beast` number, since 1 + 0 + 627 + 0 + 0 + 30 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 106270030125 - 2¹⁴ = 106270013741 is a prime.

It is a super-2 number, since 2×106270030125² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106270030127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8979462 + ... + 8991288.

It is an arithmetic number, because the mean of its divisors is an integer number (1557168028).

Almost surely, 2^106270030125 is an apocalyptic number.

106270030125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106270030125 is an abundant number, since it is smaller than the sum of its proper divisors (117962165907).

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

106270030125 is a wasteful number, since it uses less digits than its factorization.

106270030125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12025 (or 12005 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 106270030125 in words is "one hundred six billion, two hundred seventy million, thirty thousand, one hundred twenty-five".