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105300198 = 23210754673
BaseRepresentation
bin1100100011011…
…00000011100110
321100010210201100
412101230003212
5203424101243
614240540530
72416015443
oct621540346
9240123640
10105300198
1154491663
122b321746
1318a7b113
14ddb09ca
1593a00d3
hex646c0e6

105300198 has 24 divisors (see below), whose sum is σ = 230286888. Its totient is φ = 34771392.

The previous prime is 105300197. The next prime is 105300199. The reversal of 105300198 is 891003501.

It is an interprime number because it is at equal distance from previous prime (105300197) and next prime (105300199).

It is a super-2 number, since 2×1053001982 = 22176263397678408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105300197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25411 + ... + 29262.

It is an arithmetic number, because the mean of its divisors is an integer number (9595287).

Almost surely, 2105300198 is an apocalyptic number.

105300198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105300198 is an abundant number, since it is smaller than the sum of its proper divisors (124986690).

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

105300198 is a wasteful number, since it uses less digits than its factorization.

105300198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54788 (or 54785 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105300198 is about 10261.5884735259. The cubic root of 105300198 is about 472.2185709665.

Adding to 105300198 its reverse (891003501), we get a palindrome (996303699).

The spelling of 105300198 in words is "one hundred five million, three hundred thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 54673 109346 164019 328038 492057 984114 5850011 11700022 17550033 35100066 52650099 105300198