Search a number
-
+
106906878 = 2351316921
BaseRepresentation
bin1100101111101…
…00010011111110
321110011102200000
412113310103332
5204332010003
614335215130
72435456601
oct627642376
9243142600
10106906878
11553897a1
122b9774a6
13191c1510
14102ac338
1595bb1a3
hex65f44fe

106906878 has 48 divisors (see below), whose sum is σ = 258703536. Its totient is φ = 32892480.

The previous prime is 106906861. The next prime is 106906913. The reversal of 106906878 is 878609601.

It is a happy number.

It is a super-2 number, since 2×1069068782 = 22858161127413768, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2143 + ... + 14778.

It is an arithmetic number, because the mean of its divisors is an integer number (5389657).

Almost surely, 2106906878 is an apocalyptic number.

106906878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106906878 is an abundant number, since it is smaller than the sum of its proper divisors (151796658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106906878 is a wasteful number, since it uses less digits than its factorization.

106906878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16951 (or 16939 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 106906878 is about 10339.5782312433. The cubic root of 106906878 is about 474.6081762302.

The spelling of 106906878 in words is "one hundred six million, nine hundred six thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 16921 33842 50763 101526 152289 219973 304578 439946 456867 659919 913734 1319838 1370601 1979757 2741202 3959514 4111803 5939271 8223606 11878542 17817813 35635626 53453439 106906878