106299993600 has 1200 divisors, whose sum is σ = 430449936048. Its totient is φ = 25798901760.

The previous prime is 106299993587. The next prime is 106299993647. The reversal of 106299993600 is 6399992601.

106299993600 is a `hidden beast` number, since 1 + 0 + 6 + 29 + 9 + 9 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×106299993600² (a number of 23 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 652147119 + ... + 652147281.

Almost surely, 2^106299993600 is an apocalyptic number.

106299993600 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 106299993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215224968024).

106299993600 is an abundant number, since it is smaller than the sum of its proper divisors (324149942448).

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

106299993600 is a wasteful number, since it uses less digits than its factorization.

106299993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

Subtracting from 106299993600 its reverse (6399992601), we obtain a palindrome (99900000999).

The spelling of 106299993600 in words is "one hundred six billion, two hundred ninety-nine million, nine hundred ninety-three thousand, six hundred".