102001032 has 160 divisors (see below), whose sum is σ = 331056000. Its totient is φ = 28740096.

The previous prime is 102001027. The next prime is 102001043. The reversal of 102001032 is 230100201.

It is a happy number.

It is a super-3 number, since 3×102001032³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 512469 + ... + 512667.

It is an arithmetic number, because the mean of its divisors is an integer number (2069100).

Almost surely, 2^102001032 is an apocalyptic number.

102001032 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 102001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165528000).

102001032 is an abundant number, since it is smaller than the sum of its proper divisors (229054968).

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

102001032 is a wasteful number, since it uses less digits than its factorization.

102001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102001032 is about 10099.5560298461. The cubic root of 102001032 is about 467.2344485960.

Adding to 102001032 its reverse (230100201), we get a palindrome (332101233).

The spelling of 102001032 in words is "one hundred two million, one thousand, thirty-two".