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106927812 = 22322970217
BaseRepresentation
bin1100101111110…
…01011011000100
321110012111101100
412113321123010
5204333142222
614335500100
72435604615
oct627713304
9243174340
10106927812
11553a34a2
122b987630
13191cabc4
14102b5c0c
1595c24ac
hex65f96c4

106927812 has 18 divisors (see below), whose sum is σ = 270289838. Its totient is φ = 35642592.

The previous prime is 106927811. The next prime is 106927813. The reversal of 106927812 is 218729601.

It is an interprime number because it is at equal distance from previous prime (106927811) and next prime (106927813).

It can be written as a sum of positive squares in only one way, i.e., 87160896 + 19766916 = 9336^2 + 4446^2 .

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

It is a super-2 number, since 2×1069278122 = 22867113958214688, which contains 22 as substring.

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: 2970217 = 106927812 / (1 + 0 + 6 + 9 + 2 + 7 + 8 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (106927811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1485073 + ... + 1485144.

Almost surely, 2106927812 is an apocalyptic number.

106927812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106927812 is an abundant number, since it is smaller than the sum of its proper divisors (163362026).

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

106927812 is a wasteful number, since it uses less digits than its factorization.

106927812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970227 (or 2970222 counting only the distinct ones).

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

The square root of 106927812 is about 10340.5905053822. The cubic root of 106927812 is about 474.6391527190.

The spelling of 106927812 in words is "one hundred six million, nine hundred twenty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2970217 5940434 8910651 11880868 17821302 26731953 35642604 53463906 106927812