104458771200 has 864 divisors, whose sum is σ = 421548019200. Its totient is φ = 22236364800.

The previous prime is 104458771163. The next prime is 104458771201. The reversal of 104458771200 is 2177854401.

It is a super-2 number, since 2×104458771200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104458771201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299308626 + ... + 299308974.

It is an arithmetic number, because the mean of its divisors is an integer number (487902800).

Almost surely, 2^104458771200 is an apocalyptic number.

104458771200 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 104458771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210774009600).

104458771200 is an abundant number, since it is smaller than the sum of its proper divisors (317089248000).

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

104458771200 is a wasteful number, since it uses less digits than its factorization.

104458771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 104458771200 in words is "one hundred four billion, four hundred fifty-eight million, seven hundred seventy-one thousand, two hundred".