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106202142 = 23253111323
BaseRepresentation
bin1100101010010…
…00010000011110
321101211121221200
412111020100132
5204141432032
614312140330
72426463144
oct625102036
9241747850
10106202142
1154a48272
122b6976a6
1319005807
1410167594
1594cc47c
hex654841e

106202142 has 24 divisors (see below), whose sum is σ = 234448344. Its totient is φ = 34732464.

The previous prime is 106202141. The next prime is 106202197. The reversal of 106202142 is 241202601.

106202142 is a `hidden beast` number, since 1 + 0 + 620 + 2 + 1 + 42 = 666.

It is a super-2 number, since 2×1062021422 = 22557789930776328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106202141) 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 11 ways as a sum of consecutive naturals, for example, 54708 + ... + 56615.

It is an arithmetic number, because the mean of its divisors is an integer number (9768681).

Almost surely, 2106202142 is an apocalyptic number.

106202142 is an abundant number, since it is smaller than the sum of its proper divisors (128246202).

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

106202142 is a wasteful number, since it uses less digits than its factorization.

106202142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111384 (or 111381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106202142 is about 10305.4423485846. The cubic root of 106202142 is about 473.5629951865.

Adding to 106202142 its reverse (241202601), we get a palindrome (347404743).

The spelling of 106202142 in words is "one hundred six million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 111323 222646 333969 667938 1001907 2003814 5900119 11800238 17700357 35400714 53101071 106202142