103040010000 has 150 divisors (see below), whose sum is σ = 360346113270. Its totient is φ = 27477312000.

The previous prime is 103040009993. The next prime is 103040010001. The reversal of 103040010000 is 10040301.

It can be written as a sum of positive squares in 5 ways, for example, as 12694078224 + 90345931776 = 112668^2 + 300576^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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 (103040010001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 482445 + ... + 662444.

Almost surely, 2^103040010000 is an apocalyptic number.

103040010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103040010000 is an abundant number, since it is smaller than the sum of its proper divisors (257306103270).

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

103040010000 is a wasteful number, since it uses less digits than its factorization.

103040010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144923 (or 1144899 counting only the distinct ones).

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

Adding to 103040010000 its reverse (10040301), we get a palindrome (103050050301).

It can be divided in two parts, 1030400 and 10000, that added together give a square (1040400 = 1020²).

The spelling of 103040010000 in words is "one hundred three billion, forty million, ten thousand".