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105676435 = 5295313751
BaseRepresentation
bin1100100110001…
…11111010010011
321100211220211001
412103013322103
5204023121220
614253002431
72422143364
oct623077223
9240756731
10105676435
11547192a7
122b483417
1318b80447
141006bb6b
15942680a
hex64c7e93

105676435 has 16 divisors (see below), whose sum is σ = 133669440. Its totient is φ = 80080000.

The previous prime is 105676433. The next prime is 105676447. The reversal of 105676435 is 534676501.

It is not a de Polignac number, because 105676435 - 21 = 105676433 is a prime.

It is a super-2 number, since 2×1056764352 = 22335017828618450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105676394 and 105676403.

It is not an unprimeable number, because it can be changed into a prime (105676433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810 + ... + 14560.

It is an arithmetic number, because the mean of its divisors is an integer number (8354340).

Almost surely, 2105676435 is an apocalyptic number.

105676435 is a deficient number, since it is larger than the sum of its proper divisors (27993005).

105676435 is a wasteful number, since it uses less digits than its factorization.

105676435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838.

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 105676435 is about 10279.9044256258. The cubic root of 105676435 is about 472.7803138720.

The spelling of 105676435 in words is "one hundred five million, six hundred seventy-six thousand, four hundred thirty-five".

Divisors: 1 5 29 53 145 265 1537 7685 13751 68755 398779 728803 1993895 3644015 21135287 105676435