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105355146 = 23134433049
BaseRepresentation
bin1100100011110…
…01011110001010
321100020121002110
412101321132022
5203432331041
614242043150
72416334601
oct621713612
9240217073
10105355146
1154519976
122b3494b6
1318a9a130
14ddc6a38
1593b1516
hex647978a

105355146 has 32 divisors (see below), whose sum is σ = 227505600. Its totient is φ = 32333184.

The previous prime is 105355139. The next prime is 105355147. The reversal of 105355146 is 641553501.

It is a super-2 number, since 2×1053551462 = 22199413577362632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105355147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33030 + ... + 36078.

It is an arithmetic number, because the mean of its divisors is an integer number (7109550).

Almost surely, 2105355146 is an apocalyptic number.

105355146 is an abundant number, since it is smaller than the sum of its proper divisors (122150454).

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

105355146 is a wasteful number, since it uses less digits than its factorization.

105355146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105355146 is about 10264.2654876031. The cubic root of 105355146 is about 472.3006947565.

It can be divided in two parts, 105355 and 146, that added together give a palindrome (105501).

The spelling of 105355146 in words is "one hundred five million, three hundred fifty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 443 886 1329 2658 3049 5759 6098 9147 11518 17277 18294 34554 39637 79274 118911 237822 1350707 2701414 4052121 8104242 17559191 35118382 52677573 105355146