106793827920 has 400 divisors, whose sum is σ = 406231499520. Its totient is φ = 25840954368.

The previous prime is 106793827883. The next prime is 106793827961. The reversal of 106793827920 is 29728397601.

106793827920 is a `hidden beast` number, since 106 + 79 + 382 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×106793827920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4959417 + ... + 4980903.

Almost surely, 2^106793827920 is an apocalyptic number.

106793827920 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 106793827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203115749760).

106793827920 is an abundant number, since it is smaller than the sum of its proper divisors (299437671600).

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

106793827920 is a wasteful number, since it uses less digits than its factorization.

106793827920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21584 (or 21569 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 106793827920 in words is "one hundred six billion, seven hundred ninety-three million, eight hundred twenty-seven thousand, nine hundred twenty".