104982064200 has 768 divisors, whose sum is σ = 423306240000. Its totient is φ = 23682585600.

The previous prime is 104982064199. The next prime is 104982064207. The reversal of 104982064200 is 2460289401.

104982064200 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 8 + 2 + 0 + 642 + 0 + 0 = 666.

It is a super-2 number, since 2×104982064200² (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 (104982064207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41346531 + ... + 41349069.

It is an arithmetic number, because the mean of its divisors is an integer number (551180000).

Almost surely, 2^104982064200 is an apocalyptic number.

104982064200 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 104982064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653120000).

104982064200 is an abundant number, since it is smaller than the sum of its proper divisors (318324175800).

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

104982064200 is a wasteful number, since it uses less digits than its factorization.

104982064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 104982064200 in words is "one hundred four billion, nine hundred eighty-two million, sixty-four thousand, two hundred".