106011813600 has 1296 divisors, whose sum is σ = 483471555840. Its totient is φ = 21608294400.

The previous prime is 106011813599. The next prime is 106011813619. The reversal of 106011813600 is 6318110601.

106011813600 is a `hidden beast` number, since 10 + 601 + 18 + 1 + 36 + 0 + 0 = 666.

It is a super-2 number, since 2×106011813600² (a number of 23 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 215 ways as a sum of consecutive naturals, for example, 228966969 + ... + 228967431.

It is an arithmetic number, because the mean of its divisors is an integer number (373049040).

Almost surely, 2^106011813600 is an apocalyptic number.

106011813600 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 106011813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241735777920).

106011813600 is an abundant number, since it is smaller than the sum of its proper divisors (377459742240).

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

106011813600 is a wasteful number, since it uses less digits than its factorization.

106011813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 106011813600 in words is "one hundred six billion, eleven million, eight hundred thirteen thousand, six hundred".