102032014 has 48 divisors (see below), whose sum is σ = 192600720. Its totient is φ = 40279680.

The previous prime is 102031999. The next prime is 102032017. The reversal of 102032014 is 410230201.

It is a junction number, because it is equal to n+sod(n) for n = 102031985 and 102032003.

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 23 ways as a sum of consecutive naturals, for example, 68154 + ... + 69634.

It is an arithmetic number, because the mean of its divisors is an integer number (4012515).

Almost surely, 2^102032014 is an apocalyptic number.

102032014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102032014 is a deficient number, since it is larger than the sum of its proper divisors (90568706).

102032014 is a wasteful number, since it uses less digits than its factorization.

102032014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102032014 is about 10101.0897431911. The cubic root of 102032014 is about 467.2817500530.

Adding to 102032014 its reverse (410230201), we get a palindrome (512262215).

The spelling of 102032014 in words is "one hundred two million, thirty-two thousand, fourteen".