106871893425 has 48 divisors (see below), whose sum is σ = 214175607360. Its totient is φ = 51816672000.

The previous prime is 106871893421. The next prime is 106871893487. The reversal of 106871893425 is 524398178601.

106871893425 is a `hidden beast` number, since 1 + 0 + 68 + 71 + 8 + 93 + 425 = 666.

It is not a de Polignac number, because 106871893425 - 2² = 106871893421 is a prime.

It is a super-2 number, since 2×106871893425² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106871893421) 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 47 ways as a sum of consecutive naturals, for example, 7189336 + ... + 7204185.

It is an arithmetic number, because the mean of its divisors is an integer number (4461991820).

It is a 1-persistent number, because it is pandigital, but 2⋅106871893425 = 213743786850 is not.

Almost surely, 2^106871893425 is an apocalyptic number.

106871893425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106871893425 is an abundant number, since it is smaller than the sum of its proper divisors (107303713935).

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

106871893425 is a wasteful number, since it uses less digits than its factorization.

106871893425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14393551 (or 14393540 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106871893425 in words is "one hundred six billion, eight hundred seventy-one million, eight hundred ninety-three thousand, four hundred twenty-five".