102124032 has 80 divisors (see below), whose sum is σ = 288142272. Its totient is φ = 32030720.

The previous prime is 102123977. The next prime is 102124037. The reversal of 102124032 is 230421201.

It is not an unprimeable number, because it can be changed into a prime (102124037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24157 + ... + 28067.

Almost surely, 2^102124032 is an apocalyptic number.

102124032 is a gapful number since it is divisible by the number (12) 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 102124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144071136).

102124032 is an abundant number, since it is smaller than the sum of its proper divisors (186018240).

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

102124032 is an equidigital number, since it uses as much as digits as its factorization.

102124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102124032 is about 10105.6435717870. The cubic root of 102124032 is about 467.4221811811.

Adding to 102124032 its reverse (230421201), we get a palindrome (332545233).

The spelling of 102124032 in words is "one hundred two million, one hundred twenty-four thousand, thirty-two".