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106099416 = 2333491201
BaseRepresentation
bin1100101001011…
…11001011011000
321101122102001000
412110233023120
5204130140131
614310025000
72425554513
oct624571330
9241572030
10106099416
1154988075
122b648160
1318c9ab27
141013bd7a
1594abce6
hex652f2d8

106099416 has 32 divisors (see below), whose sum is σ = 294721200. Its totient is φ = 35366400.

The previous prime is 106099393. The next prime is 106099417. The reversal of 106099416 is 614990601.

106099416 is a `hidden beast` number, since 1 + 0 + 609 + 9 + 41 + 6 = 666.

It is a super-2 number, since 2×1060994162 = 22514172151082112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106099417) 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, 245385 + ... + 245816.

Almost surely, 2106099416 is an apocalyptic number.

It is an amenable number.

106099416 is an abundant number, since it is smaller than the sum of its proper divisors (188621784).

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

106099416 is a wasteful number, since it uses less digits than its factorization.

106099416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491216 (or 491206 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106099416 is about 10300.4570772369. The cubic root of 106099416 is about 473.4102583875.

The spelling of 106099416 in words is "one hundred six million, ninety-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 491201 982402 1473603 1964804 2947206 3929608 4420809 5894412 8841618 11788824 13262427 17683236 26524854 35366472 53049708 106099416