102032120 has 64 divisors (see below), whose sum is σ = 237172320. Its totient is φ = 39481344.

The previous prime is 102032087. The next prime is 102032123. The reversal of 102032120 is 21230201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235424 + ... + 235856.

Almost surely, 2^102032120 is an apocalyptic number.

102032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118586160).

102032120 is an abundant number, since it is smaller than the sum of its proper divisors (135140200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102032120 is a wasteful number, since it uses less digits than its factorization.

102032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102032120 is about 10101.0949901483. The cubic root of 102032120 is about 467.2819118710.

Adding to 102032120 its reverse (21230201), we get a palindrome (123262321).

The spelling of 102032120 in words is "one hundred two million, thirty-two thousand, one hundred twenty".