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104581092000 = 253537211192337
BaseRepresentation
bin110000101100110000…
…1001101001010100000
3100222221102202221001210
41201121201031022200
53203140224421000
6120013251430120
710361421420600
oct1413141151240
9328842687053
10104581092000
1140397333350
1218327bb5340
139b28939678
1450c1638c00
152ac14e5350
hex185984d2a0

104581092000 has 2304 divisors, whose sum is σ = 490462801920. Its totient is φ = 19160064000.

The previous prime is 104581091969. The next prime is 104581092001. The reversal of 104581092000 is 290185401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (104581092001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2826515982 + ... + 2826516018.

It is an arithmetic number, because the mean of its divisors is an integer number (212874480).

Almost surely, 2104581092000 is an apocalyptic number.

104581092000 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 104581092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245231400960).

104581092000 is an abundant number, since it is smaller than the sum of its proper divisors (385881709920).

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

104581092000 is a wasteful number, since it uses less digits than its factorization.

104581092000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 104581092000 in words is "one hundred four billion, five hundred eighty-one million, ninety-two thousand".