104347958400 has 1440 divisors, whose sum is σ = 469835256000. Its totient is φ = 22335160320.

The previous prime is 104347958399. The next prime is 104347958413. The reversal of 104347958400 is 4859743401.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 524361501 + ... + 524361699.

Almost surely, 2^104347958400 is an apocalyptic number.

104347958400 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 104347958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234917628000).

104347958400 is an abundant number, since it is smaller than the sum of its proper divisors (365487297600).

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

104347958400 is a wasteful number, since it uses less digits than its factorization.

104347958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 104347958400 in words is "one hundred four billion, three hundred forty-seven million, nine hundred fifty-eight thousand, four hundred".