106853526126 has 24 divisors (see below), whose sum is σ = 235439975160. Its totient is φ = 35014149456.

The previous prime is 106853526119. The next prime is 106853526133. The reversal of 106853526126 is 621625358601.

106853526126 is a `hidden beast` number, since 1 + 0 + 68 + 53 + 526 + 12 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106853526119) and next prime (106853526133).

It is a super-2 number, since 2×106853526126² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50306625 + ... + 50308748.

It is an arithmetic number, because the mean of its divisors is an integer number (9809998965).

Almost surely, 2^106853526126 is an apocalyptic number.

106853526126 is an abundant number, since it is smaller than the sum of its proper divisors (128586449034).

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

106853526126 is a wasteful number, since it uses less digits than its factorization.

106853526126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100615440 (or 100615437 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 106853526126 in words is "one hundred six billion, eight hundred fifty-three million, five hundred twenty-six thousand, one hundred twenty-six".