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106603131 = 31391511693
BaseRepresentation
bin1100101101010…
…10001001111011
321102121000000010
412112222021323
5204242300011
614324513003
72433053205
oct626521173
9242530003
10106603131
11551a1568
122b84b763
131911619b
141022d775
15955b1a6
hex65aa27b

106603131 has 16 divisors (see below), whose sum is σ = 144193280. Its totient is φ = 70048800.

The previous prime is 106603127. The next prime is 106603151. The reversal of 106603131 is 131306601.

It is not a de Polignac number, because 106603131 - 22 = 106603127 is a prime.

It is a super-2 number, since 2×1066031312 = 22728455078006322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106603098 and 106603107.

It is not an unprimeable number, because it can be changed into a prime (106603121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62121 + ... + 63813.

It is an arithmetic number, because the mean of its divisors is an integer number (9012080).

Almost surely, 2106603131 is an apocalyptic number.

106603131 is a deficient number, since it is larger than the sum of its proper divisors (37590149).

106603131 is a wasteful number, since it uses less digits than its factorization.

106603131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106603131 is about 10324.8792244752. The cubic root of 106603131 is about 474.1582595686.

Adding to 106603131 its reverse (131306601), we get a palindrome (237909732).

The spelling of 106603131 in words is "one hundred six million, six hundred three thousand, one hundred thirty-one".

Divisors: 1 3 139 151 417 453 1693 5079 20989 62967 235327 255643 705981 766929 35534377 106603131