103002031332 has 72 divisors (see below), whose sum is σ = 269919336960. Its totient is φ = 33083775360.

The previous prime is 103002031277. The next prime is 103002031333. The reversal of 103002031332 is 233130200301.

103002031332 is a `hidden beast` number, since 1 + 0 + 300 + 2 + 0 + 31 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103002031333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61969 + ... + 458087.

It is an arithmetic number, because the mean of its divisors is an integer number (3748879680).

Almost surely, 2^103002031332 is an apocalyptic number.

103002031332 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 103002031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134959668480).

103002031332 is an abundant number, since it is smaller than the sum of its proper divisors (166917305628).

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

103002031332 is a wasteful number, since it uses less digits than its factorization.

103002031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396393 (or 396388 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103002031332 its reverse (233130200301), we get a palindrome (336132231633).

The spelling of 103002031332 in words is "one hundred three billion, two million, thirty-one thousand, three hundred thirty-two".