Base | Representation |
---|---|
bin | 1100101011011… |
… | …01011011111111 |
3 | 21102010100212000 |
4 | 12111231123333 |
5 | 204211320211 |
6 | 14315313343 |
7 | 2430666141 |
oct | 625553377 |
9 | 242110760 |
10 | 106354431 |
11 | 55041727 |
12 | 2b74b853 |
13 | 19059c21 |
14 | 101a6c91 |
15 | 950c656 |
hex | 656d6ff |
106354431 has 16 divisors (see below), whose sum is σ = 166831200. Its totient is φ = 66731904.
The previous prime is 106354429. The next prime is 106354433. The reversal of 106354431 is 134453601.
It is an interprime number because it is at equal distance from previous prime (106354429) and next prime (106354433).
It is not a de Polignac number, because 106354431 - 21 = 106354429 is a prime.
It is a super-2 number, since 2×1063544312 = 22622529986667522, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 106354395 and 106354404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106354433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115396 + ... + 116313.
It is an arithmetic number, because the mean of its divisors is an integer number (10426950).
Almost surely, 2106354431 is an apocalyptic number.
106354431 is a deficient number, since it is larger than the sum of its proper divisors (60476769).
106354431 is a wasteful number, since it uses less digits than its factorization.
106354431 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 231735 (or 231729 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 106354431 is about 10312.8284674962. The cubic root of 106354431 is about 473.7892429487.
The spelling of 106354431 in words is "one hundred six million, three hundred fifty-four thousand, four hundred thirty-one".
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