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106540371 = 3275928663
BaseRepresentation
bin1100101100110…
…10110101010011
321102110210220200
412112122311103
5204233242441
614323310243
72432402220
oct626326523
9242423820
10106540371
11551593a3
122b81b383
13190c3752
1410214947
1595477b6
hex659ad53

106540371 has 24 divisors (see below), whose sum is σ = 178863360. Its totient is φ = 59846256.

The previous prime is 106540351. The next prime is 106540381. The reversal of 106540371 is 173045601.

106540371 is a `hidden beast` number, since 1 + 0 + 654 + 0 + 3 + 7 + 1 = 666.

It is not a de Polignac number, because 106540371 - 27 = 106540243 is a prime.

It is a super-2 number, since 2×1065403712 = 22701701305635282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106540351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10615 + ... + 18048.

It is an arithmetic number, because the mean of its divisors is an integer number (7452640).

Almost surely, 2106540371 is an apocalyptic number.

106540371 is a deficient number, since it is larger than the sum of its proper divisors (72322989).

106540371 is a wasteful number, since it uses less digits than its factorization.

106540371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28735 (or 28732 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106540371 is about 10321.8395162878. The cubic root of 106540371 is about 474.0651915889.

Adding to 106540371 its reverse (173045601), we get a palindrome (279585972).

The spelling of 106540371 in words is "one hundred six million, five hundred forty thousand, three hundred seventy-one".

Divisors: 1 3 7 9 21 59 63 177 413 531 1239 3717 28663 85989 200641 257967 601923 1691117 1805769 5073351 11837819 15220053 35513457 106540371