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106408104 = 23311403061
BaseRepresentation
bin1100101011110…
…10100010101000
321102020002110220
412111322202220
5204220024404
614320410040
72431311465
oct625724250
9242202426
10106408104
1155078a90
122b776920
131907849a
14101bc66c
15951d4d9
hex657a8a8

106408104 has 32 divisors (see below), whose sum is σ = 290204640. Its totient is φ = 32244800.

The previous prime is 106408103. The next prime is 106408111. The reversal of 106408104 is 401804601.

It is a super-2 number, since 2×1064081042 = 22645369193749632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106408103) 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 7 ways as a sum of consecutive naturals, for example, 201267 + ... + 201794.

It is an arithmetic number, because the mean of its divisors is an integer number (9068895).

Almost surely, 2106408104 is an apocalyptic number.

It is an amenable number.

106408104 is an abundant number, since it is smaller than the sum of its proper divisors (183796536).

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

106408104 is a wasteful number, since it uses less digits than its factorization.

106408104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403081 (or 403077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 106408104 is about 10315.4303836534. The cubic root of 106408104 is about 473.8689306282.

The spelling of 106408104 in words is "one hundred six million, four hundred eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 403061 806122 1209183 1612244 2418366 3224488 4433671 4836732 8867342 9673464 13301013 17734684 26602026 35469368 53204052 106408104