Search a number
-
+
103015104 = 2631737853
BaseRepresentation
bin1100010001111…
…10001011000000
321011211201011020
412020332023000
5202332440404
614115545440
72360420403
oct610761300
9234751136
10103015104
1153170855
122a5bb280
131845acaa
14d977d3a
15909ced9
hex623e2c0

103015104 has 112 divisors (see below), whose sum is σ = 296741088. Its totient is φ = 31408128.

The previous prime is 103015103. The next prime is 103015111. The reversal of 103015104 is 401510301.

It is a super-2 number, since 2×1030151042 = 21224223304261632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103015103) by changing a digit.

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, 120342 + ... + 121194.

It is an arithmetic number, because the mean of its divisors is an integer number (2649474).

Almost surely, 2103015104 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 103015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148370544).

103015104 is an abundant number, since it is smaller than the sum of its proper divisors (193725984).

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

103015104 is a wasteful number, since it uses less digits than its factorization.

103015104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 103015104 is about 10149.6356584855. The cubic root of 103015104 is about 468.7777265022. Note that the first 4 decimals are identical.

Adding to 103015104 its reverse (401510301), we get a palindrome (504525405).

The spelling of 103015104 in words is "one hundred three million, fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 136 148 192 204 222 272 296 408 444 544 592 629 816 853 888 1088 1184 1258 1632 1706 1776 1887 2368 2516 2559 3264 3412 3552 3774 5032 5118 6824 7104 7548 10064 10236 13648 14501 15096 20128 20472 27296 29002 30192 31561 40256 40944 43503 54592 58004 60384 63122 81888 87006 94683 116008 120768 126244 163776 174012 189366 232016 252488 348024 378732 464032 504976 536537 696048 757464 928064 1009952 1073074 1392096 1514928 1609611 2019904 2146148 2784192 3029856 3219222 4292296 6059712 6438444 8584592 12876888 17169184 25753776 34338368 51507552 103015104