104661114000 has 160 divisors (see below), whose sum is σ = 343795031424. Its totient is φ = 27382950400.

The previous prime is 104661113981. The next prime is 104661114079. The reversal of 104661114000 is 411166401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153439 + ... + 482561.

Almost surely, 2^104661114000 is an apocalyptic number.

104661114000 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 104661114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171897515712).

104661114000 is an abundant number, since it is smaller than the sum of its proper divisors (239133917424).

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

104661114000 is a wasteful number, since it uses less digits than its factorization.

104661114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329202 (or 329186 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 104661114000 in words is "one hundred four billion, six hundred sixty-one million, one hundred fourteen thousand".