Search a number
-
+
106235441 = 1319222637
BaseRepresentation
bin1100101010100…
…00011000110001
321101220022121222
412111100120301
5204144013231
614312554425
72426662214
oct625203061
9241808558
10106235441
1154a70294
122b6b2a15
1319017a10
141017577b
1594d727b
hex6550631

106235441 has 12 divisors (see below), whose sum is σ = 120751092. Its totient is φ = 92898144.

The previous prime is 106235429. The next prime is 106235447. The reversal of 106235441 is 144532601.

It can be written as a sum of positive squares in 2 ways, for example, as 21669025 + 84566416 = 4655^2 + 9196^2 .

It is a de Polignac number, because none of the positive numbers 2k-106235441 is a prime.

It is a super-2 number, since 2×1062354412 = 22571937848928962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106235441.

It is not an unprimeable number, because it can be changed into a prime (106235447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6626 + ... + 16011.

It is an arithmetic number, because the mean of its divisors is an integer number (10062591).

Almost surely, 2106235441 is an apocalyptic number.

It is an amenable number.

106235441 is a deficient number, since it is larger than the sum of its proper divisors (14515651).

106235441 is a wasteful number, since it uses less digits than its factorization.

106235441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22688 (or 22669 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 106235441 is about 10307.0578246171. The cubic root of 106235441 is about 473.6124842271.

The spelling of 106235441 in words is "one hundred six million, two hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 13 19 247 361 4693 22637 294281 430103 5591339 8171957 106235441