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106455 = 3547151
BaseRepresentation
bin11001111111010111
312102000210
4121333113
511401310
62140503
7622236
oct317727
9172023
10106455
1172a88
1251733
13395bb
142ab1d
1521820
hex19fd7

106455 has 16 divisors (see below), whose sum is σ = 175104. Its totient is φ = 55200.

The previous prime is 106453. The next prime is 106487. The reversal of 106455 is 554601.

It is a happy number.

It is not a de Polignac number, because 106455 - 21 = 106453 is a prime.

It is a super-2 number, since 2×1064552 = 22665334050, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106455.

It is not an unprimeable number, because it can be changed into a prime (106451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (10944).

2106455 is an apocalyptic number.

106455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106455 is a deficient number, since it is larger than the sum of its proper divisors (68649).

106455 is a wasteful number, since it uses less digits than its factorization.

106455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 106455 is about 326.2744243731. The cubic root of 106455 is about 47.3938534642.

Multiplying 106455 by its sum of digits (21), we get a triangular number (2235555 = T2114).

It can be divided in two parts, 106 and 455, that added together give a triangular number (561 = T33).

The spelling of 106455 in words is "one hundred six thousand, four hundred fifty-five".

Divisors: 1 3 5 15 47 141 151 235 453 705 755 2265 7097 21291 35485 106455