103332002010 has 64 divisors (see below), whose sum is σ = 252035297280. Its totient is φ = 27108164160.

The previous prime is 103332002009. The next prime is 103332002023. The reversal of 103332002010 is 10200233301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933801 + ... + 1038579.

It is an arithmetic number, because the mean of its divisors is an integer number (3938051520).

Almost surely, 2^103332002010 is an apocalyptic number.

103332002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103332002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126017648640).

103332002010 is an abundant number, since it is smaller than the sum of its proper divisors (148703295270).

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

103332002010 is a wasteful number, since it uses less digits than its factorization.

103332002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105323.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103332002010 its reverse (10200233301), we get a palindrome (113532235311).

The spelling of 103332002010 in words is "one hundred three billion, three hundred thirty-two million, two thousand, ten".