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105432425 = 5271937857
BaseRepresentation
bin1100100100011…
…00010101101001
321100101112002122
412102030111221
5203442314200
614243441025
72420106110
oct622142551
9240345078
10105432425
1154571a3a
122b386175
1318ac6367
1410006c77
1593c9385
hex648c569

105432425 has 48 divisors (see below), whose sum is σ = 161715840. Its totient is φ = 66562560.

The previous prime is 105432409. The next prime is 105432427. The reversal of 105432425 is 524234501.

It is a happy number.

It is not a de Polignac number, because 105432425 - 24 = 105432409 is a prime.

It is a super-2 number, since 2×1054324252 = 22231992482761250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105432394 and 105432403.

It is not an unprimeable number, because it can be changed into a prime (105432427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122597 + ... + 123453.

It is an arithmetic number, because the mean of its divisors is an integer number (3369080).

Almost surely, 2105432425 is an apocalyptic number.

It is an amenable number.

105432425 is a deficient number, since it is larger than the sum of its proper divisors (56283415).

105432425 is a wasteful number, since it uses less digits than its factorization.

105432425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 105432425 is about 10268.0292656381. The cubic root of 105432425 is about 472.4161455478.

Adding to 105432425 its reverse (524234501), we get a palindrome (629666926).

The spelling of 105432425 in words is "one hundred five million, four hundred thirty-two thousand, four hundred twenty-five".

Divisors: 1 5 7 19 25 35 37 95 133 175 185 259 475 665 703 857 925 1295 3325 3515 4285 4921 5999 6475 16283 17575 21425 24605 29995 31709 81415 113981 123025 149975 158545 221963 407075 569905 602471 792725 1109815 2849525 3012355 4217297 5549075 15061775 21086485 105432425