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106923090 = 23523831867
BaseRepresentation
bin1100101111110…
…00010001010010
321110012020220110
412113320101102
5204333014330
614335422150
72435555061
oct627702122
9243166813
10106923090
115539a99a
122b984956
13191c8a01
14102b41d8
1595c0db0
hex65f8452

106923090 has 64 divisors (see below), whose sum is σ = 271143936. Its totient is φ = 26930112.

The previous prime is 106923079. The next prime is 106923097. The reversal of 106923090 is 90329601.

It is a super-2 number, since 2×1069230902 = 22865094350296200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106923097) 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 31 ways as a sum of consecutive naturals, for example, 56337 + ... + 58203.

It is an arithmetic number, because the mean of its divisors is an integer number (4236624).

Almost surely, 2106923090 is an apocalyptic number.

106923090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106923090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135571968).

106923090 is an abundant number, since it is smaller than the sum of its proper divisors (164220846).

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

106923090 is a wasteful number, since it uses less digits than its factorization.

106923090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 106923090 is about 10340.3621793436. The cubic root of 106923090 is about 474.6321658274.

The spelling of 106923090 in words is "one hundred six million, nine hundred twenty-three thousand, ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 230 249 345 415 498 690 830 1245 1867 1909 2490 3734 3818 5601 5727 9335 9545 11202 11454 18670 19090 28005 28635 42941 56010 57270 85882 128823 154961 214705 257646 309922 429410 464883 644115 774805 929766 1288230 1549610 2324415 3564103 4648830 7128206 10692309 17820515 21384618 35641030 53461545 106923090