104506937700 has 864 divisors, whose sum is σ = 368652404736. Its totient is φ = 22767360000.

The previous prime is 104506937687. The next prime is 104506937701. The reversal of 104506937700 is 7739605401.

104506937700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104506937701) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1471928665 + ... + 1471928735.

It is an arithmetic number, because the mean of its divisors is an integer number (426681024).

Almost surely, 2^104506937700 is an apocalyptic number.

104506937700 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 104506937700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184326202368).

104506937700 is an abundant number, since it is smaller than the sum of its proper divisors (264145467036).

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

104506937700 is a wasteful number, since it uses less digits than its factorization.

104506937700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 104506937700 in words is "one hundred four billion, five hundred six million, nine hundred thirty-seven thousand, seven hundred".