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106542931 = 1167144563
BaseRepresentation
bin1100101100110…
…11011101010011
321102110221102111
412112123131103
5204233333211
614323330151
72432412535
oct626333523
9242427374
10106542931
1155160310
122b820957
13190c4971
1410215855
159548421
hex659b753

106542931 has 8 divisors (see below), whose sum is σ = 117964224. Its totient is φ = 95410920.

The previous prime is 106542929. The next prime is 106542977. The reversal of 106542931 is 139245601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106542931 - 21 = 106542929 is a prime.

It is a super-2 number, since 2×1065429312 = 22702792292141522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106542893 and 106542902.

It is not an unprimeable number, because it can be changed into a prime (106542911) 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, 71545 + ... + 73018.

It is an arithmetic number, because the mean of its divisors is an integer number (14745528).

Almost surely, 2106542931 is an apocalyptic number.

106542931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106542931 is a deficient number, since it is larger than the sum of its proper divisors (11421293).

106542931 is a wasteful number, since it uses less digits than its factorization.

106542931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144641.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106542931 is about 10321.9635244463. The cubic root of 106542931 is about 474.0689885758.

The spelling of 106542931 in words is "one hundred six million, five hundred forty-two thousand, nine hundred thirty-one".

Divisors: 1 11 67 737 144563 1590193 9685721 106542931