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106884340 = 2255344217
BaseRepresentation
bin1100101111011…
…10110011110100
321110010021202021
412113232303310
5204330244330
614334522524
72435334103
oct627566364
9243107667
10106884340
1155373872
122b966444
13191b4194
14102a403a
1595b467a
hex65eecf4

106884340 has 12 divisors (see below), whose sum is σ = 224457156. Its totient is φ = 42753728.

The previous prime is 106884319. The next prime is 106884377. The reversal of 106884340 is 43488601.

It can be written as a sum of positive squares in 2 ways, for example, as 43586404 + 63297936 = 6602^2 + 7956^2 .

It is a super-2 number, since 2×1068843402 = 22848524274471200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106884296 and 106884305.

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 3 ways as a sum of consecutive naturals, for example, 2672089 + ... + 2672128.

It is an arithmetic number, because the mean of its divisors is an integer number (18704763).

Almost surely, 2106884340 is an apocalyptic number.

106884340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106884340 is an abundant number, since it is smaller than the sum of its proper divisors (117572816).

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

106884340 is a wasteful number, since it uses less digits than its factorization.

106884340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344226 (or 5344224 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 106884340 is about 10338.4882840771. The cubic root of 106884340 is about 474.5748217474.

The spelling of 106884340 in words is "one hundred six million, eight hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 5344217 10688434 21376868 26721085 53442170 106884340