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105977245 = 5112473727
BaseRepresentation
bin1100101000100…
…01010110011101
321101102012110011
412110101112131
5204112232440
614303243221
72424535363
oct624212635
9241365404
10105977245
1154904300
122b5a9511
1318c5733a
1410109633
1594859ea
hex651159d

105977245 has 24 divisors (see below), whose sum is σ = 142797312. Its totient is φ = 75414240.

The previous prime is 105977243. The next prime is 105977273. The reversal of 105977245 is 542779501.

It is not a de Polignac number, because 105977245 - 21 = 105977243 is a prime.

It is a super-2 number, since 2×1059772452 = 22462352915580050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105977198 and 105977207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105977243) 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 23 ways as a sum of consecutive naturals, for example, 26572 + ... + 30298.

It is an arithmetic number, because the mean of its divisors is an integer number (5949888).

Almost surely, 2105977245 is an apocalyptic number.

It is an amenable number.

105977245 is a deficient number, since it is larger than the sum of its proper divisors (36820067).

105977245 is a wasteful number, since it uses less digits than its factorization.

105977245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 105977245 is about 10294.5250011839. The cubic root of 105977245 is about 473.2284816464.

The spelling of 105977245 in words is "one hundred five million, nine hundred seventy-seven thousand, two hundred forty-five".

Divisors: 1 5 11 47 55 121 235 517 605 2585 3727 5687 18635 28435 40997 175169 204985 450967 875845 1926859 2254835 9634295 21195449 105977245