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104413100 = 225211234127
BaseRepresentation
bin1100011100100…
…11011110101100
321021110201211212
412032103132230
5203212204400
614205533552
72405332241
oct616233654
9237421755
10104413100
1153a36120
122ab742b8
131882a3cc
14dc1d5c8
159277335
hex63937ac

104413100 has 72 divisors (see below), whose sum is σ = 257983488. Its totient is φ = 36308800.

The previous prime is 104413081. The next prime is 104413103. The reversal of 104413100 is 1314401.

It is a happy number.

It is a super-2 number, since 2×1044131002 = 21804190903220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104413103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23237 + ... + 27363.

It is an arithmetic number, because the mean of its divisors is an integer number (3583104).

Almost surely, 2104413100 is an apocalyptic number.

104413100 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 104413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128991744).

104413100 is an abundant number, since it is smaller than the sum of its proper divisors (153570388).

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

104413100 is a wasteful number, since it uses less digits than its factorization.

104413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 104413100 is about 10218.2728481872. The cubic root of 104413100 is about 470.8887664566. Note that the first 3 decimals are identical.

Adding to 104413100 its reverse (1314401), we get a palindrome (105727501).

The spelling of 104413100 in words is "one hundred four million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 4127 5060 6325 8254 12650 16508 20635 25300 41270 45397 82540 90794 94921 103175 181588 189842 206350 226985 379684 412700 453970 474605 907940 949210 1044131 1134925 1898420 2088262 2269850 2373025 4176524 4539700 4746050 5220655 9492100 10441310 20882620 26103275 52206550 104413100