10306542400 has 1008 divisors, whose sum is σ = 36838981440. Its totient is φ = 2786918400.

The previous prime is 10306542373. The next prime is 10306542401. The reversal of 10306542400 is 424560301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10306542401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278555182 + ... + 278555218.

Almost surely, 2^10306542400 is an apocalyptic number.

10306542400 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 10306542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419490720).

10306542400 is an abundant number, since it is smaller than the sum of its proper divisors (26532439040).

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

10306542400 is a wasteful number, since it uses less digits than its factorization.

10306542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 10306542400 in words is "ten billion, three hundred six million, five hundred forty-two thousand, four hundred".