106042313600 has 192 divisors, whose sum is σ = 276927327600. Its totient is φ = 40012185600.

The previous prime is 106042313417. The next prime is 106042313617. The reversal of 106042313600 is 6313240601.

It is a super-2 number, since 2×106042313600² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106042313600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14649182 + ... + 14656418.

Almost surely, 2^106042313600 is an apocalyptic number.

106042313600 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 106042313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138463663800).

106042313600 is an abundant number, since it is smaller than the sum of its proper divisors (170885014000).

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

106042313600 is a wasteful number, since it uses less digits than its factorization.

106042313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 106042313600 in words is "one hundred six billion, forty-two million, three hundred thirteen thousand, six hundred".