106359289068096 has 315 divisors, whose sum is σ = 317179940368467. Its totient is φ = 35240977255680.

The previous prime is 106359289068091. The next prime is 106359289068247. The reversal of 106359289068096 is 690860982953601.

The square root of 106359289068096 is 10313064.

It is a perfect power (a square), and thus also a powerful number.

106359289068096 is a `hidden beast` number, since 1 + 0 + 6 + 359 + 28 + 90 + 6 + 80 + 96 = 666.

It is a super-2 number, since 2×106359289068096² (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 not an unprimeable number, because it can be changed into a prime (106359289068091) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 168556717701 + ... + 168556718331.

Almost surely, 2^{106359289068096} is an apocalyptic number.

106359289068096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106359289068096 is the 10313064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106359289068096

106359289068096 is an abundant number, since it is smaller than the sum of its proper divisors (210820651300371).

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

106359289068096 is an frugal number, since it uses more digits than its factorization.

106359289068096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 106359289068096 in words is "one hundred six trillion, three hundred fifty-nine billion, two hundred eighty-nine million, sixty-eight thousand, ninety-six".