100102032 has 60 divisors (see below), whose sum is σ = 294899280. Its totient is φ = 31610304.

The previous prime is 100102027. The next prime is 100102039. The reversal of 100102032 is 230201001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100102039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15558 + ... + 21029.

It is an arithmetic number, because the mean of its divisors is an integer number (4914988).

Almost surely, 2^100102032 is an apocalyptic number.

100102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102032 is an abundant number, since it is smaller than the sum of its proper divisors (194797248).

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

100102032 is a wasteful number, since it uses less digits than its factorization.

100102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36620 (or 36611 counting only the distinct ones).

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

The square root of 100102032 is about 10005.1002993473. The cubic root of 100102032 is about 464.3166932319.

Adding to 100102032 its reverse (230201001), we get a palindrome (330303033).

The spelling of 100102032 in words is "one hundred million, one hundred two thousand, thirty-two".