102032007 has 16 divisors (see below), whose sum is σ = 169612032. Its totient is φ = 53003520.

The previous prime is 102031999. The next prime is 102032017. The reversal of 102032007 is 700230201.

It is not a de Polignac number, because 102032007 - 2³ = 102031999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220618 + ... + 221079.

It is an arithmetic number, because the mean of its divisors is an integer number (10600752).

Almost surely, 2^102032007 is an apocalyptic number.

102032007 is a deficient number, since it is larger than the sum of its proper divisors (67580025).

102032007 is a wasteful number, since it uses less digits than its factorization.

102032007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441718.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 102032007 is about 10101.0893966938. The cubic root of 102032007 is about 467.2817393669.

Adding to 102032007 its reverse (700230201), we get a palindrome (802262208).

The spelling of 102032007 in words is "one hundred two million, thirty-two thousand, seven".