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16105104 = 2432971153
BaseRepresentation
bin111101011011…
…111010010000
31010022020001100
4331123322100
513110330404
61333104400
7253614441
oct75337220
933266040
1016105104
119100004
125488100
13344b662
1421d32c8
151631d39
hexf5be90

16105104 has 60 divisors (see below), whose sum is σ = 45576076. Its totient is φ = 5308416.

The previous prime is 16105097. The next prime is 16105109. The reversal of 16105104 is 40150161.

16105104 is a `hidden beast` number, since 1 + 610 + 51 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 5992704 = 3180^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (16105109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13392 + ... + 14544.

Almost surely, 216105104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788038).

16105104 is an abundant number, since it is smaller than the sum of its proper divisors (29470972).

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

16105104 is a wasteful number, since it uses less digits than its factorization.

16105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 16105104 is about 4013.1164946959. The cubic root of 16105104 is about 252.5347676204.

Adding to 16105104 its reverse (40150161), we get a palindrome (56255265).

The spelling of 16105104 in words is "sixteen million, one hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1153 1164 1552 1746 2306 2328 3459 3492 4612 4656 6918 6984 9224 10377 13836 13968 18448 20754 27672 41508 55344 83016 111841 166032 223682 335523 447364 671046 894728 1006569 1342092 1789456 2013138 2684184 4026276 5368368 8052552 16105104