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106678116 = 22322963281
BaseRepresentation
bin1100101101111…
…00011101100100
321102201210212100
412112330131210
5204302144431
614330252100
72433514626
oct626743544
9242653770
10106678116
1155242936
122b887030
131914135c
141024cc16
1595734e6
hex65bc764

106678116 has 18 divisors (see below), whose sum is σ = 269658662. Its totient is φ = 35559360.

The previous prime is 106678079. The next prime is 106678123. The reversal of 106678116 is 611876601.

It can be written as a sum of positive squares in only one way, i.e., 96943716 + 9734400 = 9846^2 + 3120^2 .

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

It is a super-2 number, since 2×1066781162 = 22760440866618912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2963281 = 106678116 / (1 + 0 + 6 + 6 + 7 + 8 + 1 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1481605 + ... + 1481676.

Almost surely, 2106678116 is an apocalyptic number.

It is an amenable number.

106678116 is an abundant number, since it is smaller than the sum of its proper divisors (162980546).

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

106678116 is a wasteful number, since it uses less digits than its factorization.

106678116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963291 (or 2963286 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106678116 is about 10328.5098634798. The cubic root of 106678116 is about 474.2694083487.

The spelling of 106678116 in words is "one hundred six million, six hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2963281 5926562 8889843 11853124 17779686 26669529 35559372 53339058 106678116