106745787374688 has 1536 divisors, whose sum is σ = 397761779036160. Its totient is φ = 27389834035200.

The previous prime is 106745787374659. The next prime is 106745787374741. The reversal of 106745787374688 is 886473787547601.

106745787374688 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 4 + 578 + 7 + 37 + 4 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×106745787374688² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 204886347868 + ... + 204886348388.

It is an arithmetic number, because the mean of its divisors is an integer number (258959491560).

Almost surely, 2^{106745787374688} is an apocalyptic number.

106745787374688 is a gapful number since it is divisible by the number (18) 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 106745787374688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198880889518080).

106745787374688 is an abundant number, since it is smaller than the sum of its proper divisors (291015991661472).

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

106745787374688 is a wasteful number, since it uses less digits than its factorization.

106745787374688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 10621255680, while the sum is 81.

The spelling of 106745787374688 in words is "one hundred six trillion, seven hundred forty-five billion, seven hundred eighty-seven million, three hundred seventy-four thousand, six hundred eighty-eight".