106117993313280 has 1408 divisors, whose sum is σ = 415818134323200. Its totient is φ = 25824700661760.

The previous prime is 106117993313279. The next prime is 106117993313287. The reversal of 106117993313280 is 82313399711601.

106117993313280 is a `hidden beast` number, since 1 + 0 + 6 + 117 + 99 + 331 + 32 + 80 = 666.

It is a super-2 number, since 2×106117993313280² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (106117993313287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12955433985 + ... + 12955442175.

Almost surely, 2^{106117993313280} is an apocalyptic number.

106117993313280 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 106117993313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207909067161600).

106117993313280 is an abundant number, since it is smaller than the sum of its proper divisors (309700141009920).

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

106117993313280 is an frugal number, since it uses more digits than its factorization.

106117993313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 106117993313280 in words is "one hundred six trillion, one hundred seventeen billion, nine hundred ninety-three million, three hundred thirteen thousand, two hundred eighty".