106542163 has 24 divisors (see below), whose sum is σ = 133183008. Its totient is φ = 83446272.

The previous prime is 106542157. The next prime is 106542193. The reversal of 106542163 is 361245601.

It is not a de Polignac number, because 106542163 - 2¹³ = 106533971 is a prime.

It is a super-2 number, since 2×106542163² = 22702464993437138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106542193) 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, 133281 + ... + 134077.

It is an arithmetic number, because the mean of its divisors is an integer number (5549292).

Almost surely, 2^106542163 is an apocalyptic number.

106542163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106542163 is a deficient number, since it is larger than the sum of its proper divisors (26640845).

106542163 is a wasteful number, since it uses less digits than its factorization.

106542163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 106542163 is about 10321.9263221552. The cubic root of 106542163 is about 474.0678494861.

Adding to 106542163 its reverse (361245601), we get a palindrome (467787764).

The spelling of 106542163 in words is "one hundred six million, five hundred forty-two thousand, one hundred sixty-three".