106871625303858 has 48 divisors (see below), whose sum is σ = 232783810459200. Its totient is φ = 35435346613920.

The previous prime is 106871625303853. The next prime is 106871625303889. The reversal of 106871625303858 is 858303526178601.

106871625303858 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 7 + 1 + 62 + 530 + 38 + 5 + 8 = 666.

It is a super-2 number, since 2×106871625303858² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106871625303795 and 106871625303804.

It is not an unprimeable number, because it can be changed into a prime (106871625303853) 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 23 ways as a sum of consecutive naturals, for example, 17814393 + ... + 23045516.

It is an arithmetic number, because the mean of its divisors is an integer number (4849662717900).

Almost surely, 2^{106871625303858} is an apocalyptic number.

106871625303858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106871625303858 is an abundant number, since it is smaller than the sum of its proper divisors (125912185155342).

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

106871625303858 is a wasteful number, since it uses less digits than its factorization.

106871625303858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40860687 (or 40860684 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 106871625303858 in words is "one hundred six trillion, eight hundred seventy-one billion, six hundred twenty-five million, three hundred three thousand, eight hundred fifty-eight".