106797228564096 has 384 divisors, whose sum is σ = 355707451756800. Its totient is φ = 30125891174400.

The previous prime is 106797228564073. The next prime is 106797228564113. The reversal of 106797228564096 is 690465822797601.

106797228564096 is a `hidden beast` number, since 1 + 0 + 6 + 79 + 72 + 2 + 85 + 6 + 409 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106797228564096² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246776061 + ... + 247208451.

It is an arithmetic number, because the mean of its divisors is an integer number (926321488950).

Almost surely, 2^{106797228564096} is an apocalyptic number.

106797228564096 is a gapful number since it is divisible by the number (16) 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 106797228564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177853725878400).

106797228564096 is an abundant number, since it is smaller than the sum of its proper divisors (248910223192704).

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

106797228564096 is a wasteful number, since it uses less digits than its factorization.

106797228564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432808 (or 432793 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 106797228564096 in words is "one hundred six trillion, seven hundred ninety-seven billion, two hundred twenty-eight million, five hundred sixty-four thousand, ninety-six".