104900643072 has 216 divisors, whose sum is σ = 318864000000. Its totient is φ = 33117880320.

The previous prime is 104900643061. The next prime is 104900643073. The reversal of 104900643072 is 270346009401.

104900643072 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 0 + 0 + 643 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×104900643072² (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 not an unprimeable number, because it can be changed into a prime (104900643073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3341304 + ... + 3372552.

Almost surely, 2^104900643072 is an apocalyptic number.

104900643072 is a gapful number since it is divisible by the number (12) 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 104900643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159432000000).

104900643072 is an abundant number, since it is smaller than the sum of its proper divisors (213963356928).

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

104900643072 is a wasteful number, since it uses less digits than its factorization.

104900643072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31349 (or 31332 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 104900643072 in words is "one hundred four billion, nine hundred million, six hundred forty-three thousand, seventy-two".