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106144146 = 23219310363
BaseRepresentation
bin1100101001110…
…10000110010010
321101201200101200
412110322012102
5204133103041
614311012030
72426132103
oct624720622
9241650350
10106144146
1154a08739
122b66a016
1318cb52b4
14101503aa
1594ba1b6
hex653a192

106144146 has 24 divisors (see below), whose sum is σ = 242083920. Its totient is φ = 33519096.

The previous prime is 106144123. The next prime is 106144151. The reversal of 106144146 is 641441601.

106144146 is a `hidden beast` number, since 1 + 0 + 614 + 4 + 1 + 46 = 666.

It is a super-2 number, since 2×1061441462 = 22533159460138632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154840 + ... + 155523.

It is an arithmetic number, because the mean of its divisors is an integer number (10086830).

Almost surely, 2106144146 is an apocalyptic number.

106144146 is an abundant number, since it is smaller than the sum of its proper divisors (135939774).

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

106144146 is a wasteful number, since it uses less digits than its factorization.

106144146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310390 (or 310387 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106144146 is about 10302.6281113122. The cubic root of 106144146 is about 473.4767767108.

Adding to 106144146 its reverse (641441601), we get a palindrome (747585747).

The spelling of 106144146 in words is "one hundred six million, one hundred forty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 310363 620726 931089 1862178 2793267 5586534 5896897 11793794 17690691 35381382 53072073 106144146