10102032 has 90 divisors (see below), whose sum is σ = 29613246. Its totient is φ = 3214080.

The previous prime is 10102019. The next prime is 10102049. The reversal of 10102032 is 23020101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 1245456 = 2976^2 + 1116^2 .

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 17 ways as a sum of consecutive naturals, for example, 138348 + ... + 138420.

Almost surely, 2^10102032 is an apocalyptic number.

10102032 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 10102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806623).

10102032 is an abundant number, since it is smaller than the sum of its proper divisors (19511214).

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

10102032 is a wasteful number, since it uses less digits than its factorization.

10102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

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

The square root of 10102032 is about 3178.3693932581. The cubic root of 10102032 is about 216.1737285456.

Adding to 10102032 its reverse (23020101), we get a palindrome (33122133).

The spelling of 10102032 in words is "ten million, one hundred two thousand, thirty-two".