106004615600 has 120 divisors (see below), whose sum is σ = 278915950320. Its totient is φ = 38476661760.

The previous prime is 106004615593. The next prime is 106004615623. The reversal of 106004615600 is 6516400601.

It is a super-2 number, since 2×106004615600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134042 + ... + 479558.

It is an arithmetic number, because the mean of its divisors is an integer number (2324299586).

Almost surely, 2^106004615600 is an apocalyptic number.

106004615600 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 106004615600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139457975160).

106004615600 is an abundant number, since it is smaller than the sum of its proper divisors (172911334720).

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

106004615600 is a wasteful number, since it uses less digits than its factorization.

106004615600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345607 (or 345596 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 106004615600 in words is "one hundred six billion, four million, six hundred fifteen thousand, six hundred".