107042069600 has 72 divisors (see below), whose sum is σ = 261471655368. Its totient is φ = 42791398400.

The previous prime is 107042069599. The next prime is 107042069669. The reversal of 107042069600 is 6960240701.

It is a super-2 number, since 2×107042069600² (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 11 ways as a sum of consecutive naturals, for example, 1337927 + ... + 1415673.

It is an arithmetic number, because the mean of its divisors is an integer number (3631550769).

Almost surely, 2^107042069600 is an apocalyptic number.

107042069600 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 107042069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130735827684).

107042069600 is an abundant number, since it is smaller than the sum of its proper divisors (154429585768).

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

107042069600 is a wasteful number, since it uses less digits than its factorization.

107042069600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79488 (or 79475 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 107042069600 in words is "one hundred seven billion, forty-two million, sixty-nine thousand, six hundred".