104686465200 has 240 divisors, whose sum is σ = 343009284096. Its totient is φ = 27280281600.

The previous prime is 104686465159. The next prime is 104686465201. The reversal of 104686465200 is 2564686401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×104686465200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104686465201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55891464 + ... + 55893336.

Almost surely, 2^104686465200 is an apocalyptic number.

104686465200 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 104686465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171504642048).

104686465200 is an abundant number, since it is smaller than the sum of its proper divisors (238322818896).

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

104686465200 is a wasteful number, since it uses less digits than its factorization.

104686465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 104686465200 in words is "one hundred four billion, six hundred eighty-six million, four hundred sixty-five thousand, two hundred".