Search a number
-
+
106380813 = 3721165789
BaseRepresentation
bin1100101011100…
…11111000001101
321102011201001010
412111303320031
5204213141223
614320035433
72431136100
oct625637015
9242151033
10106380813
115505a530
122b762b79
1319068c36
14101b2737
159515393
hex6573e0d

106380813 has 24 divisors (see below), whose sum is σ = 180001440. Its totient is φ = 55261920.

The previous prime is 106380811. The next prime is 106380817. The reversal of 106380813 is 318083601.

It is not a de Polignac number, because 106380813 - 21 = 106380811 is a prime.

It is a super-2 number, since 2×1063808132 = 22633754749081938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106380811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31278 + ... + 34511.

It is an arithmetic number, because the mean of its divisors is an integer number (7500060).

Almost surely, 2106380813 is an apocalyptic number.

It is an amenable number.

106380813 is a deficient number, since it is larger than the sum of its proper divisors (73620627).

106380813 is a wasteful number, since it uses less digits than its factorization.

106380813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65817 (or 65810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106380813 is about 10314.1074747164. The cubic root of 106380813 is about 473.8284153470.

The spelling of 106380813 in words is "one hundred six million, three hundred eighty thousand, eight hundred thirteen".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 65789 197367 460523 723679 1381569 2171037 3223661 5065753 9670983 15197259 35460271 106380813