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106504424 = 23131953899
BaseRepresentation
bin1100101100100…
…10000011101000
321102101222121022
412112102003220
5204231120144
614322432012
72432162345
oct626220350
9242358538
10106504424
1155134394
122b802608
13190b0290
14102057cc
15953bcee
hex65920e8

106504424 has 32 divisors (see below), whose sum is σ = 226380000. Its totient is φ = 46567872.

The previous prime is 106504423. The next prime is 106504427. The reversal of 106504424 is 424405601.

It is a super-2 number, since 2×1065044242 = 22686384663143552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 106504393 and 106504402.

It is not an unprimeable number, because it can be changed into a prime (106504423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24974 + ... + 28925.

It is an arithmetic number, because the mean of its divisors is an integer number (7074375).

Almost surely, 2106504424 is an apocalyptic number.

It is an amenable number.

106504424 is an abundant number, since it is smaller than the sum of its proper divisors (119875576).

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

106504424 is a wasteful number, since it uses less digits than its factorization.

106504424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53937 (or 53933 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 106504424 is about 10320.0980615496. The cubic root of 106504424 is about 474.0118686459.

The spelling of 106504424 in words is "one hundred six million, five hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 53899 107798 215596 431192 700687 1024081 1401374 2048162 2802748 4096324 5605496 8192648 13313053 26626106 53252212 106504424