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104211800 = 235271167101
BaseRepresentation
bin1100011011000…
…10010101011000
321021002111201022
412031202111120
5203134234200
614201342012
72403533330
oct615422530
9237074638
10104211800
1153908960
122aa97908
13187898b4
14dbaa0c0
159237885
hex6362558

104211800 has 192 divisors, whose sum is σ = 309623040. Its totient is φ = 31680000.

The previous prime is 104211799. The next prime is 104211803. The reversal of 104211800 is 8112401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104211803) 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, 1031750 + ... + 1031850.

It is an arithmetic number, because the mean of its divisors is an integer number (1612620).

Almost surely, 2104211800 is an apocalyptic number.

104211800 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 104211800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811520).

104211800 is an abundant number, since it is smaller than the sum of its proper divisors (205411240).

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

104211800 is a wasteful number, since it uses less digits than its factorization.

104211800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 104211800 is about 10208.4180948862. The cubic root of 104211800 is about 470.5859599767.

It can be divided in two parts, 10421 and 1800, that added together give a palindrome (12221).

The spelling of 104211800 in words is "one hundred four million, two hundred eleven thousand, eight hundred".