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106300638 = 23247912329
BaseRepresentation
bin1100101011000…
…00010011011110
321102000122001200
412111200103132
5204203110023
614314220330
72430353253
oct625402336
9242018050
10106300638
1155005274
122b7246a6
131903b5b2
141019142a
1594eb743
hex65604de

106300638 has 24 divisors (see below), whose sum is σ = 230817600. Its totient is φ = 35356704.

The previous prime is 106300627. The next prime is 106300639. The reversal of 106300638 is 836003601.

It is a super-2 number, since 2×1063006382 = 22599651278414088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106300639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2458 + ... + 14786.

It is an arithmetic number, because the mean of its divisors is an integer number (9617400).

Almost surely, 2106300638 is an apocalyptic number.

106300638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106300638 is an abundant number, since it is smaller than the sum of its proper divisors (124516962).

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

106300638 is a wasteful number, since it uses less digits than its factorization.

106300638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816 (or 12813 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106300638 is about 10310.2200752457. The cubic root of 106300638 is about 473.7093502018.

The spelling of 106300638 in words is "one hundred six million, three hundred thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 479 958 1437 2874 4311 8622 12329 24658 36987 73974 110961 221922 5905591 11811182 17716773 35433546 53150319 106300638