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105676425 = 3252469673
BaseRepresentation
bin1100100110001…
…11111010001001
321100211220210200
412103013322021
5204023121200
614253002413
72422143351
oct623077211
9240756720
10105676425
1154719298
122b483409
1318b8043a
141006bb61
159426800
hex64c7e89

105676425 has 18 divisors (see below), whose sum is σ = 189278622. Its totient is φ = 56360640.

The previous prime is 105676411. The next prime is 105676429. The reversal of 105676425 is 524676501.

It is a happy number.

105676425 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 7 + 642 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11431161 + 94245264 = 3381^2 + 9708^2 .

It is not a de Polignac number, because 105676425 - 27 = 105676297 is a prime.

It is a super-2 number, since 2×1056764252 = 22335013601561250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105676425.

It is not an unprimeable number, because it can be changed into a prime (105676429) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 234612 + ... + 235061.

It is an arithmetic number, because the mean of its divisors is an integer number (10515479).

Almost surely, 2105676425 is an apocalyptic number.

105676425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105676425 is a deficient number, since it is larger than the sum of its proper divisors (83602197).

105676425 is a wasteful number, since it uses less digits than its factorization.

105676425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469689 (or 469681 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 105676425 is about 10279.9039392399. The cubic root of 105676425 is about 472.7802989592.

The spelling of 105676425 in words is "one hundred five million, six hundred seventy-six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 469673 1409019 2348365 4227057 7045095 11741825 21135285 35225475 105676425