Search a number
-
+
106336104 = 23374611373
BaseRepresentation
bin1100101011010…
…00111101101000
321102002102201020
412111220331220
5204210223404
614315052440
72430561540
oct625507550
9242072636
10106336104
1155029986
122b741120
1319051794
14101a0320
159506ed9
hex6568f68

106336104 has 64 divisors (see below), whose sum is σ = 304698240. Its totient is φ = 30293760.

The previous prime is 106336099. The next prime is 106336117. The reversal of 106336104 is 401633601.

It is a super-2 number, since 2×1063361042 = 22614734027797632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76762 + ... + 78134.

It is an arithmetic number, because the mean of its divisors is an integer number (4760910).

Almost surely, 2106336104 is an apocalyptic number.

106336104 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 106336104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152349120).

106336104 is an abundant number, since it is smaller than the sum of its proper divisors (198362136).

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

106336104 is a wasteful number, since it uses less digits than its factorization.

106336104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106336104 is about 10311.9398756975. The cubic root of 106336104 is about 473.7620269246.

Adding to 106336104 its reverse (401633601), we get a palindrome (507969705).

The spelling of 106336104 in words is "one hundred six million, three hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 461 922 1373 1383 1844 2746 2766 3227 3688 4119 5492 5532 6454 8238 9611 9681 10984 11064 12908 16476 19222 19362 25816 28833 32952 38444 38724 57666 76888 77448 115332 230664 632953 1265906 1898859 2531812 3797718 4430671 5063624 7595436 8861342 13292013 15190872 17722684 26584026 35445368 53168052 106336104