106592993280 has 420 divisors, whose sum is σ = 383677969752. Its totient is φ = 28311552000.

The previous prime is 106592993263. The next prime is 106592993329. The reversal of 106592993280 is 82399295601.

It is a happy number.

106592993280 is a `hidden beast` number, since 10 + 6 + 592 + 9 + 9 + 32 + 8 + 0 = 666.

It is a super-3 number, since 3×106592993280³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424673155 + ... + 424673405.

Almost surely, 2^106592993280 is an apocalyptic number.

106592993280 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 106592993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191838984876).

106592993280 is an abundant number, since it is smaller than the sum of its proper divisors (277084976472).

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

106592993280 is an frugal number, since it uses more digits than its factorization.

106592993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 106592993280 in words is "one hundred six billion, five hundred ninety-two million, nine hundred ninety-three thousand, two hundred eighty".