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104516104 = 23711383443
BaseRepresentation
bin1100011101011…
…00101000001000
321021122222010211
412032230220020
5203224003404
614212050504
72406241450
oct616545010
9237588124
10104516104
1153aa6550
122b003a34
1318865264
14dc48d60
159297b04
hex63aca08

104516104 has 64 divisors (see below), whose sum is σ = 245514240. Its totient is φ = 40522560.

The previous prime is 104516099. The next prime is 104516143. The reversal of 104516104 is 401615401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235707 + ... + 236149.

It is an arithmetic number, because the mean of its divisors is an integer number (3836160).

Almost surely, 2104516104 is an apocalyptic number.

104516104 is a gapful number since it is divisible by the number (14) 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 104516104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122757120).

104516104 is an abundant number, since it is smaller than the sum of its proper divisors (140998136).

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

104516104 is a wasteful number, since it uses less digits than its factorization.

104516104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 104516104 is about 10223.3117921738. The cubic root of 104516104 is about 471.0435602057.

The spelling of 104516104 in words is "one hundred four million, five hundred sixteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 383 443 616 766 886 1532 1772 2681 3064 3101 3544 4213 4873 5362 6202 8426 9746 10724 12404 16852 19492 21448 24808 29491 33704 34111 38984 58982 68222 117964 136444 169669 235928 272888 339338 678676 1187683 1357352 1866359 2375366 3732718 4750732 7465436 9501464 13064513 14930872 26129026 52258052 104516104