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106753881 = 31314918371
BaseRepresentation
bin1100101110011…
…10111101011001
321102212122210110
412113032331121
5204312111011
614332034533
72434251543
oct627167531
9242778713
10106753881
1155294853
122b902a49
13191699a0
141026c693
15958aba6
hex65cef59

106753881 has 16 divisors (see below), whose sum is σ = 154324800. Its totient is φ = 65250240.

The previous prime is 106753811. The next prime is 106753883. The reversal of 106753881 is 188357601.

It is not a de Polignac number, because 106753881 - 211 = 106751833 is a prime.

It is a super-2 number, since 2×1067538812 = 22792782217124322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106753883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3375 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (9645300).

Almost surely, 2106753881 is an apocalyptic number.

It is an amenable number.

106753881 is a deficient number, since it is larger than the sum of its proper divisors (47570919).

106753881 is a wasteful number, since it uses less digits than its factorization.

106753881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18536.

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 106753881 is about 10332.1769729327. The cubic root of 106753881 is about 474.3816604195.

The spelling of 106753881 in words is "one hundred six million, seven hundred fifty-three thousand, eight hundred eighty-one".

Divisors: 1 3 13 39 149 447 1937 5811 18371 55113 238823 716469 2737279 8211837 35584627 106753881