10140540300 has 216 divisors, whose sum is σ = 34781440512. Its totient is φ = 2450736000.

The previous prime is 10140540259. The next prime is 10140540301. The reversal of 10140540300 is 304504101.

Added to its reverse (304504101) it gives a square (10445044401 = 102201²).

It is a happy number.

10140540300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10140540301) 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 71 ways as a sum of consecutive naturals, for example, 3631905 + ... + 3634695.

Almost surely, 2^10140540300 is an apocalyptic number.

10140540300 is a gapful number since it is divisible by the number (10) 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 10140540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390720256).

10140540300 is an abundant number, since it is smaller than the sum of its proper divisors (24640900212).

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

10140540300 is a wasteful number, since it uses less digits than its factorization.

10140540300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10140540300 its reverse (304504101), we get a square (10445044401 = 102201²).

The spelling of 10140540300 in words is "ten billion, one hundred forty million, five hundred forty thousand, three hundred".