Search a number
-
+
106134860 = 22513408211
BaseRepresentation
bin1100101001101…
…11110101001100
321101201012122202
412110313311030
5204132303420
614310501032
72426063036
oct624676514
9241635582
10106134860
1154a01767
122b664778
1318cb0cc0
141014ac56
1594b7575
hex6537d4c

106134860 has 24 divisors (see below), whose sum is σ = 240028656. Its totient is φ = 39188160.

The previous prime is 106134851. The next prime is 106134869. The reversal of 106134860 is 68431601.

It is an interprime number because it is at equal distance from previous prime (106134851) and next prime (106134869).

It is a super-2 number, since 2×1061348602 = 22529217014439200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106134869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203846 + ... + 204365.

It is an arithmetic number, because the mean of its divisors is an integer number (10001194).

Almost surely, 2106134860 is an apocalyptic number.

106134860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106134860 is an abundant number, since it is smaller than the sum of its proper divisors (133893796).

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

106134860 is a wasteful number, since it uses less digits than its factorization.

106134860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408233 (or 408231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 106134860 is about 10302.1774397454. The cubic root of 106134860 is about 473.4629689668.

The spelling of 106134860 in words is "one hundred six million, one hundred thirty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 408211 816422 1632844 2041055 4082110 5306743 8164220 10613486 21226972 26533715 53067430 106134860