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106737284 = 2229920149
BaseRepresentation
bin1100101110010…
…10111010000100
321102211211000202
412113022322010
5204311043114
614331430032
72434152263
oct627127204
9242754022
10106737284
1155283335
122b8b5318
1319162274
14102665da
159585cde
hex65cae84

106737284 has 12 divisors (see below), whose sum is σ = 193231500. Its totient is φ = 51528288.

The previous prime is 106737229. The next prime is 106737287. The reversal of 106737284 is 482737601.

It can be written as a sum of positive squares in 2 ways, for example, as 60497284 + 46240000 = 7778^2 + 6800^2 .

It is a super-2 number, since 2×1067372842 = 22785695591393312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106737287) 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 3 ways as a sum of consecutive naturals, for example, 459959 + ... + 460190.

It is an arithmetic number, because the mean of its divisors is an integer number (16102625).

Almost surely, 2106737284 is an apocalyptic number.

It is an amenable number.

106737284 is a deficient number, since it is larger than the sum of its proper divisors (86494216).

106737284 is a wasteful number, since it uses less digits than its factorization.

106737284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920182 (or 920180 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 106737284 is about 10331.3737711884. The cubic root of 106737284 is about 474.3570751448.

The spelling of 106737284 in words is "one hundred six million, seven hundred thirty-seven thousand, two hundred eighty-four".

Divisors: 1 2 4 29 58 116 920149 1840298 3680596 26684321 53368642 106737284