106891648917504 has 672 divisors, whose sum is σ = 330412448851200. Its totient is φ = 30476500992000.

The previous prime is 106891648917451. The next prime is 106891648917517. The reversal of 106891648917504 is 405719846198601.

It is a super-2 number, since 2×106891648917504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14541099429 + ... + 14541106779.

Almost surely, 2^{106891648917504} 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 106891648917504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165206224425600).

106891648917504 is an abundant number, since it is smaller than the sum of its proper divisors (223520799933696).

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

106891648917504 is a wasteful number, since it uses less digits than its factorization.

106891648917504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 69.

The spelling of 106891648917504 in words is "one hundred six trillion, eight hundred ninety-one billion, six hundred forty-eight million, nine hundred seventeen thousand, five hundred four".