Search a number
-
+
106175140 = 22547911083
BaseRepresentation
bin1100101010000…
…01101010100100
321101210020220121
412111001222210
5204140101030
614311411324
72426321341
oct625015244
9241706817
10106175140
1154a29a55
122b683b44
1318cc6436
141015b7c8
1594c447a
hex6541aa4

106175140 has 24 divisors (see below), whose sum is σ = 223453440. Its totient is φ = 42377568.

The previous prime is 106175123. The next prime is 106175141. The reversal of 106175140 is 41571601.

It is a happy number.

It is a super-2 number, since 2×1061751402 = 22546320708039200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106175141) 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 7 ways as a sum of consecutive naturals, for example, 4039 + ... + 15121.

It is an arithmetic number, because the mean of its divisors is an integer number (9310560).

Almost surely, 2106175140 is an apocalyptic number.

106175140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106175140 is an abundant number, since it is smaller than the sum of its proper divisors (117278300).

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

106175140 is a wasteful number, since it uses less digits than its factorization.

106175140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11571 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 106175140 is about 10304.1321808292. The cubic root of 106175140 is about 473.5228571641.

The spelling of 106175140 in words is "one hundred six million, one hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 479 958 1916 2395 4790 9580 11083 22166 44332 55415 110830 221660 5308757 10617514 21235028 26543785 53087570 106175140