106289773032960 has 800 divisors, whose sum is σ = 421504334710272. Its totient is φ = 25382595870720.

The previous prime is 106289773032929. The next prime is 106289773032973. The reversal of 106289773032960 is 69230377982601.

106289773032960 is a `hidden beast` number, since 10 + 6 + 28 + 9 + 7 + 7 + 303 + 296 + 0 = 666.

It is a super-2 number, since 2×106289773032960² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152476569 + ... + 153172071.

Almost surely, 2^{106289773032960} is an apocalyptic number.

106289773032960 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 106289773032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210752167355136).

106289773032960 is an abundant number, since it is smaller than the sum of its proper divisors (315214561677312).

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

106289773032960 is an equidigital number, since it uses as much as digits as its factorization.

106289773032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695616 (or 695591 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 106289773032960 in words is "one hundred six trillion, two hundred eighty-nine billion, seven hundred seventy-three million, thirty-two thousand, nine hundred sixty".