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104134500000 = 25325673317
BaseRepresentation
bin110000011111011100…
…1100101111010100000
3100221210022102201000100
41200332321211322200
53201231413000000
6115501055422400
710344356434236
oct1407671457240
9327708381010
10104134500000
1140188235153
1218222524a00
139a87263c4b
14507c1c6956
152a971cba00
hex183ee65ea0

104134500000 has 504 divisors, whose sum is σ = 376415259948. Its totient is φ = 27302400000.

The previous prime is 104134499981. The next prime is 104134500047. The reversal of 104134500000 is 5431401.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 102633092496 + 1501407504 = 320364^2 + 38748^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 328499842 + ... + 328500158.

Almost surely, 2104134500000 is an apocalyptic number.

104134500000 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 104134500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188207629974).

104134500000 is an abundant number, since it is smaller than the sum of its proper divisors (272280759948).

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

104134500000 is an frugal number, since it uses more digits than its factorization.

104134500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 104134500000 its reverse (5431401), we get a palindrome (104139931401).

The spelling of 104134500000 in words is "one hundred four billion, one hundred thirty-four million, five hundred thousand".