102588045 has 32 divisors (see below), whose sum is σ = 187971840. Its totient is φ = 46801920.

The previous prime is 102588043. The next prime is 102588061. The reversal of 102588045 is 540885201.

It is not a de Polignac number, because 102588045 - 2¹ = 102588043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102587997 and 102588015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102588043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91951 + ... + 93059.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2^102588045 is an apocalyptic number.

102588045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102588045 is a deficient number, since it is larger than the sum of its proper divisors (85383795).

102588045 is a wasteful number, since it uses less digits than its factorization.

102588045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005.

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 102588045 is about 10128.5756649195. The cubic root of 102588045 is about 468.1290415949.

The spelling of 102588045 in words is "one hundred two million, five hundred eighty-eight thousand, forty-five".