Search a number
-
+
106376631 = 3151449523
BaseRepresentation
bin1100101011100…
…10110110110111
321102011111022020
412111302312313
5204213023011
614320004223
72431120644
oct625626667
9242144266
10106376631
1155057379
122b760673
131906706a
14101b0dcb
159514006
hex6572db7

106376631 has 16 divisors (see below), whose sum is σ = 143366400. Its totient is φ = 70156800.

The previous prime is 106376609. The next prime is 106376639. The reversal of 106376631 is 136673601.

It is not a de Polignac number, because 106376631 - 29 = 106376119 is a prime.

It is a super-2 number, since 2×1063766312 = 22631975245820322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106376592 and 106376601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106376639) 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 in 15 ways as a sum of consecutive naturals, for example, 203136 + ... + 203658.

It is an arithmetic number, because the mean of its divisors is an integer number (8960400).

Almost surely, 2106376631 is an apocalyptic number.

106376631 is a deficient number, since it is larger than the sum of its proper divisors (36989769).

106376631 is a wasteful number, since it uses less digits than its factorization.

106376631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 106376631 is about 10313.9047406887. The cubic root of 106376631 is about 473.8222062812.

The spelling of 106376631 in words is "one hundred six million, three hundred seventy-six thousand, six hundred thirty-one".

Divisors: 1 3 151 449 453 523 1347 1569 67799 78973 203397 234827 236919 704481 35458877 106376631