106373433600 has 1296 divisors, whose sum is σ = 481084833600. Its totient is φ = 22852730880.

The previous prime is 106373433589. The next prime is 106373433619. The reversal of 106373433600 is 6334373601.

106373433600 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 3 + 43 + 3 + 600 = 666.

It is a super-2 number, since 2×106373433600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143942031 + ... + 143942769.

Almost surely, 2^106373433600 is an apocalyptic number.

106373433600 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 106373433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240542416800).

106373433600 is an abundant number, since it is smaller than the sum of its proper divisors (374711400000).

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

106373433600 is a wasteful number, since it uses less digits than its factorization.

106373433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 106373433600 in words is "one hundred six billion, three hundred seventy-three million, four hundred thirty-three thousand, six hundred".