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106144168 = 2313278509
BaseRepresentation
bin1100101001110…
…10000110101000
321101201200102111
412110322012220
5204133103133
614311012104
72426132134
oct624720650
9241650374
10106144168
1154a08759
122b66a034
1318cb5300
14101503c4
1594ba1cd
hex653a1a8

106144168 has 24 divisors (see below), whose sum is σ = 215509950. Its totient is φ = 48988992.

The previous prime is 106144151. The next prime is 106144169. The reversal of 106144168 is 861441601.

It can be written as a sum of positive squares in 3 ways, for example, as 80317444 + 25826724 = 8962^2 + 5082^2 .

It is a super-2 number, since 2×1061441682 = 22533168800824448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106144169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37903 + ... + 40606.

Almost surely, 2106144168 is an apocalyptic number.

It is an amenable number.

106144168 is an abundant number, since it is smaller than the sum of its proper divisors (109365782).

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

106144168 is a wasteful number, since it uses less digits than its factorization.

106144168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78541 (or 78524 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 106144168 is about 10302.6291790009. The cubic root of 106144168 is about 473.4768094225.

Adding to 106144168 its reverse (861441601), we get a palindrome (967585769).

The spelling of 106144168 in words is "one hundred six million, one hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 78509 157018 314036 628072 1020617 2041234 4082468 8164936 13268021 26536042 53072084 106144168