10102400343 has 24 divisors (see below), whose sum is σ = 16783217568. Its totient is φ = 5736025152.

The previous prime is 10102400333. The next prime is 10102400353. The reversal of 10102400343 is 34300420101.

10102400343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10102400333) and next prime (10102400353).

It is not a de Polignac number, because 10102400343 - 2⁴ = 10102400327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102400303) 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 23 ways as a sum of consecutive naturals, for example, 500796 + ... + 520577.

It is an arithmetic number, because the mean of its divisors is an integer number (699300732).

Almost surely, 2^10102400343 is an apocalyptic number.

10102400343 is a deficient number, since it is larger than the sum of its proper divisors (6680817225).

10102400343 is a wasteful number, since it uses less digits than its factorization.

10102400343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021543 (or 1021540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10102400343 its reverse (34300420101), we get a palindrome (44402820444).

The spelling of 10102400343 in words is "ten billion, one hundred two million, four hundred thousand, three hundred forty-three".