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106884 = 22322969
BaseRepresentation
bin11010000110000100
312102121200
4122012010
511410014
62142500
7623421
oct320604
9172550
10106884
1173338
1251a30
133985b
142ad48
1521a09
hex1a184

106884 has 18 divisors (see below), whose sum is σ = 270270. Its totient is φ = 35616.

The previous prime is 106877. The next prime is 106903. The reversal of 106884 is 488601.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 49284 = 240^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1068842 = 22848378912, which contains 22 as substring.

It is an unprimeable number.

106884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1449 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2106884 is an apocalyptic number.

It is an amenable number.

106884 is an abundant number, since it is smaller than the sum of its proper divisors (163386).

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

106884 is a wasteful number, since it uses less digits than its factorization.

106884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106884 is about 326.9311854198. The cubic root of 106884 is about 47.4574318538.

It can be divided in two parts, 106 and 884, that added together give a triangular number (990 = T44).

The spelling of 106884 in words is "one hundred six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2969 5938 8907 11876 17814 26721 35628 53442 106884