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104861900 = 225211137333
BaseRepresentation
bin1100100000000…
…01000011001100
321022022112111002
412100001003030
5203321040100
614223315432
72412211553
oct620010314
9238275432
10104861900
1154212330
122b14bb78
1318956780
14dcd8d9a
1593152d5
hex64010cc

104861900 has 72 divisors (see below), whose sum is σ = 267368304. Its totient is φ = 35193600.

The previous prime is 104861881. The next prime is 104861903. The reversal of 104861900 is 9168401.

It is a super-2 number, since 2×1048619002 = 21992036143220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (104861903) 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, 10634 + ... + 17966.

Almost surely, 2104861900 is an apocalyptic number.

104861900 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 104861900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133684152).

104861900 is an abundant number, since it is smaller than the sum of its proper divisors (162506404).

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

104861900 is a wasteful number, since it uses less digits than its factorization.

104861900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 104861900 is about 10240.2099587850. The cubic root of 104861900 is about 471.5624775938.

The spelling of 104861900 in words is "one hundred four million, eight hundred sixty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 7333 14300 14666 29332 36665 73330 80663 95329 146660 161326 183325 190658 322652 366650 381316 403315 476645 733300 806630 953290 1048619 1613260 1906580 2016575 2097238 2383225 4033150 4194476 4766450 5243095 8066300 9532900 10486190 20972380 26215475 52430950 104861900