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104134252800 = 2835247167691
BaseRepresentation
bin110000011111011100…
…0101001100100000000
3100221210021222010220210
41200332320221210000
53201231332042200
6115501050234120
710344354354444
oct1407670514400
9327707863823
10104134252800
1140188086456
1218222425940
139a871a8586
14507c160824
152a9717d650
hex183ee29900

104134252800 has 432 divisors, whose sum is σ = 353589368832. Its totient is φ = 26976460800.

The previous prime is 104134252799. The next prime is 104134252801. The reversal of 104134252800 is 8252431401.

It is an interprime number because it is at equal distance from previous prime (104134252799) and next prime (104134252801).

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 (104134252801) 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, 150700455 + ... + 150701145.

Almost surely, 2104134252800 is an apocalyptic number.

104134252800 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 104134252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176794684416).

104134252800 is an abundant number, since it is smaller than the sum of its proper divisors (249455116032).

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

104134252800 is a wasteful number, since it uses less digits than its factorization.

104134252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 104134252800 in words is "one hundred four billion, one hundred thirty-four million, two hundred fifty-two thousand, eight hundred".