102432105 has 12 divisors (see below), whose sum is σ = 177549060. Its totient is φ = 54630432.

The previous prime is 102432073. The next prime is 102432139. The reversal of 102432105 is 501234201.

It can be written as a sum of positive squares in 2 ways, for example, as 67716441 + 34715664 = 8229^2 + 5892^2 .

It is not a de Polignac number, because 102432105 - 2⁵ = 102432073 is a prime.

It is a super-2 number, since 2×102432105² = 20984672269462050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1138090 + ... + 1138179.

It is an arithmetic number, because the mean of its divisors is an integer number (14795755).

Almost surely, 2^102432105 is an apocalyptic number.

102432105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102432105 is a deficient number, since it is larger than the sum of its proper divisors (75116955).

102432105 is a wasteful number, since it uses less digits than its factorization.

102432105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276280 (or 2276277 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102432105 is about 10120.8747151617. The cubic root of 102432105 is about 467.8917265414.

Adding to 102432105 its reverse (501234201), we get a palindrome (603666306).

It can be divided in two parts, 10 and 2432105, that added together give a triangular number (2432115 = T₂₂₀₅).

The spelling of 102432105 in words is "one hundred two million, four hundred thirty-two thousand, one hundred five".