106790536968192 has 3072 divisors, whose sum is σ = 439831461888000. Its totient is φ = 24770130739200.

The previous prime is 106790536968127. The next prime is 106790536968251. The reversal of 106790536968192 is 291869635097601.

106790536968192 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 9 + 0 + 536 + 9 + 6 + 81 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×106790536968192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 106790536968192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88038364578 + ... + 88038365790.

It is an arithmetic number, because the mean of its divisors is an integer number (143174304000).

Almost surely, 2^{106790536968192} is an apocalyptic number.

106790536968192 is a gapful number since it is divisible by the number (12) 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 106790536968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219915730944000).

106790536968192 is an abundant number, since it is smaller than the sum of its proper divisors (333040924919808).

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

106790536968192 is a wasteful number, since it uses less digits than its factorization.

106790536968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 106790536968192 in words is "one hundred six trillion, seven hundred ninety billion, five hundred thirty-six million, nine hundred sixty-eight thousand, one hundred ninety-two".