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106237823 is a prime number
BaseRepresentation
bin1100101010100…
…00111101111111
321101220102220012
412111100331333
5204144102243
614313013435
72430002156
oct625207577
9241812805
10106237823
1154a7205a
122b6b427b
1319018b23
141017659d
1594d7d18
hex6550f7f

106237823 has 2 divisors, whose sum is σ = 106237824. Its totient is φ = 106237822.

The previous prime is 106237801. The next prime is 106237853. The reversal of 106237823 is 328732601.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106237823 - 210 = 106236799 is a prime.

It is a super-2 number, since 2×1062378232 = 22572950071558658, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106237823.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106237853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53118911 + 53118912.

It is an arithmetic number, because the mean of its divisors is an integer number (53118912).

Almost surely, 2106237823 is an apocalyptic number.

106237823 is a deficient number, since it is larger than the sum of its proper divisors (1).

106237823 is an equidigital number, since it uses as much as digits as its factorization.

106237823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 106237823 is about 10307.1733758582. The cubic root of 106237823 is about 473.6160239639.

The spelling of 106237823 in words is "one hundred six million, two hundred thirty-seven thousand, eight hundred twenty-three".