106091865936000 has 4096 divisors, whose sum is σ = 481093337088000. Its totient is φ = 22466543616000.

The previous prime is 106091865935959. The next prime is 106091865936011. The reversal of 106091865936000 is 639568190601.

106091865936000 is a `hidden beast` number, since 10 + 6 + 0 + 9 + 18 + 6 + 5 + 9 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×106091865936000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 253202543791 + ... + 253202544209.

It is an arithmetic number, because the mean of its divisors is an integer number (117454428000).

Almost surely, 2^{106091865936000} is an apocalyptic number.

106091865936000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106091865936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240546668544000).

106091865936000 is an abundant number, since it is smaller than the sum of its proper divisors (375001471152000).

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

106091865936000 is a wasteful number, since it uses less digits than its factorization.

106091865936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 106091865936000 in words is "one hundred six trillion, ninety-one billion, eight hundred sixty-five million, nine hundred thirty-six thousand".