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105724256143 = 1121361964157
BaseRepresentation
bin110001001110110101…
…0000001111110001111
3101002220002211200110111
41202131222001332033
53213010402144033
6120322525420451
710431642230632
oct1423552017617
9332802750414
10105724256143
114092364a500
12185a6a0a727
139c7b72115c
14518d3b1c19
152b3ba557cd
hex189da81f8f

105724256143 has 12 divisors (see below), whose sum is σ = 116219650680. Its totient is φ = 96104404880.

The previous prime is 105724256137. The next prime is 105724256153. The reversal of 105724256143 is 341652427501.

It is not a de Polignac number, because 105724256143 - 221 = 105722158991 is a prime.

It is a super-2 number, since 2×1057242561432 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105724256096 and 105724256105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105724256153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1615821 + ... + 1679977.

It is an arithmetic number, because the mean of its divisors is an integer number (9684970890).

Almost surely, 2105724256143 is an apocalyptic number.

105724256143 is a deficient number, since it is larger than the sum of its proper divisors (10495394537).

105724256143 is a wasteful number, since it uses less digits than its factorization.

105724256143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77798 (or 77787 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 105724256143 in words is "one hundred five billion, seven hundred twenty-four million, two hundred fifty-six thousand, one hundred forty-three".

Divisors: 1 11 121 13619 64157 149809 705727 1647899 7762997 873754183 9611296013 105724256143