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106431 = 3132729
BaseRepresentation
bin11001111110111111
312101222220
4121332333
511401211
62140423
7622203
oct317677
9171886
10106431
1172a66
1251713
13395a0
142ab03
1521806
hex19fbf

106431 has 8 divisors (see below), whose sum is σ = 152880. Its totient is φ = 65472.

The previous prime is 106427. The next prime is 106433. The reversal of 106431 is 134601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106431 - 22 = 106427 is a prime.

It is a super-2 number, since 2×1064312 = 22655115522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1326 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2106431 is an apocalyptic number.

106431 is a deficient number, since it is larger than the sum of its proper divisors (46449).

106431 is a wasteful number, since it uses less digits than its factorization.

106431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106431 is about 326.2376434442. The cubic root of 106431 is about 47.3902915900.

It can be divided in two parts, 10 and 6431, that added together give a triangular number (6441 = T113).

The spelling of 106431 in words is "one hundred six thousand, four hundred thirty-one".

Divisors: 1 3 13 39 2729 8187 35477 106431