106831104735630 has 384 divisors, whose sum is σ = 289272445378560. Its totient is φ = 25222663065600.

The previous prime is 106831104735601. The next prime is 106831104735701. The reversal of 106831104735630 is 36537401138601.

It is a super-2 number, since 2×106831104735630² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106831104735630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37107016531 + ... + 37107019409.

It is an arithmetic number, because the mean of its divisors is an integer number (753313659840).

Almost surely, 2^{106831104735630} is an apocalyptic number.

106831104735630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106831104735630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144636222689280).

106831104735630 is an abundant number, since it is smaller than the sum of its proper divisors (182441340642930).

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

106831104735630 is a wasteful number, since it uses less digits than its factorization.

106831104735630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 106831104735630 in words is "one hundred six trillion, eight hundred thirty-one billion, one hundred four million, seven hundred thirty-five thousand, six hundred thirty".