106935262660688 has 180 divisors, whose sum is σ = 265271524181664. Its totient is φ = 40876978771200.

The previous prime is 106935262660637. The next prime is 106935262660703. The reversal of 106935262660688 is 886066262539601.

It is a super-2 number, since 2×106935262660688² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36663023 + ... + 39472113.

Almost surely, 2^{106935262660688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106935262660688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132635762090832).

106935262660688 is an abundant number, since it is smaller than the sum of its proper divisors (158336261520976).

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

106935262660688 is a wasteful number, since it uses less digits than its factorization.

106935262660688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809234 (or 2809164 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 68.

The spelling of 106935262660688 in words is "one hundred six trillion, nine hundred thirty-five billion, two hundred sixty-two million, six hundred sixty thousand, six hundred eighty-eight".