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106373834 = 27311311871
BaseRepresentation
bin1100101011100…
…10001011001010
321102011100110122
412111302023022
5204212430314
614315543242
72431106540
oct625621312
9242140418
10106373834
1155055266
122b75ab22
13190659c8
14101add90
15951328e
hex65722ca

106373834 has 32 divisors (see below), whose sum is σ = 189775872. Its totient is φ = 43758000.

The previous prime is 106373819. The next prime is 106373843. The reversal of 106373834 is 438373601.

It is a happy number.

It is a super-2 number, since 2×1063738342 = 22630785119719112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 106373794 and 106373803.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55919 + ... + 57789.

It is an arithmetic number, because the mean of its divisors is an integer number (5930496).

Almost surely, 2106373834 is an apocalyptic number.

106373834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106373834 is a deficient number, since it is larger than the sum of its proper divisors (83402038).

106373834 is a wasteful number, since it uses less digits than its factorization.

106373834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042.

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 106373834 is about 10313.7691461463. The cubic root of 106373834 is about 473.8180534508.

The spelling of 106373834 in words is "one hundred six million, three hundred seventy-three thousand, eight hundred thirty-four".

Divisors: 1 2 7 14 31 62 131 217 262 434 917 1834 1871 3742 4061 8122 13097 26194 28427 56854 58001 116002 245101 406007 490202 812014 1715707 3431414 7598131 15196262 53186917 106373834