103535130400 has 72 divisors (see below), whose sum is σ = 272197867284. Its totient is φ = 38228352000.

The previous prime is 103535130389. The next prime is 103535130443. The reversal of 103535130400 is 4031535301.

It can be written as a sum of positive squares in 6 ways, for example, as 8520766864 + 95014363536 = 92308^2 + 308244^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4967251 + ... + 4988050.

Almost surely, 2^103535130400 is an apocalyptic number.

103535130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103535130400 is an abundant number, since it is smaller than the sum of its proper divisors (168662736884).

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

103535130400 is a wasteful number, since it uses less digits than its factorization.

103535130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955334 (or 9955321 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 103535130400 its reverse (4031535301), we get a palindrome (107566665701).

The spelling of 103535130400 in words is "one hundred three billion, five hundred thirty-five million, one hundred thirty thousand, four hundred".