106331405600 has 144 divisors (see below), whose sum is σ = 297410714496. Its totient is φ = 36364800000.

The previous prime is 106331405563. The next prime is 106331405669. The reversal of 106331405600 is 6504133601.

It is a happy number.

It is a super-2 number, since 2×106331405600² (a number of 23 digits) contains 22 as substring.

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, 2221925 + ... + 2269275.

It is an arithmetic number, because the mean of its divisors is an integer number (2065352184).

Almost surely, 2^106331405600 is an apocalyptic number.

106331405600 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 106331405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148705357248).

106331405600 is an abundant number, since it is smaller than the sum of its proper divisors (191079308896).

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

106331405600 is a wasteful number, since it uses less digits than its factorization.

106331405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47779 (or 47766 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 106331405600 in words is "one hundred six billion, three hundred thirty-one million, four hundred five thousand, six hundred".