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106416 = 2432739
BaseRepresentation
bin11001111110110000
312101222100
4121332300
511401131
62140400
7622152
oct317660
9171870
10106416
1172a52
1251700
133958b
142aad2
15217e6
hex19fb0

106416 has 30 divisors (see below), whose sum is σ = 298220. Its totient is φ = 35424.

The previous prime is 106411. The next prime is 106417. The reversal of 106416 is 614601.

It is a super-2 number, since 2×1064162 = 22648730112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106411) by changing a digit.

106416 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, 226 + ... + 513.

2106416 is an apocalyptic number.

106416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106416 is an abundant number, since it is smaller than the sum of its proper divisors (191804).

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

106416 is a wasteful number, since it uses less digits than its factorization.

106416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106416 is about 326.2146532576. The cubic root of 106416 is about 47.3880651466.

The spelling of 106416 in words is "one hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 739 1478 2217 2956 4434 5912 6651 8868 11824 13302 17736 26604 35472 53208 106416