10643104242400 has 144 divisors (see below), whose sum is σ = 29695870905120. Its totient is φ = 3648866457600.

The previous prime is 10643104242377. The next prime is 10643104242409. The reversal of 10643104242400 is 424240134601.

It is a super-2 number, since 2×10643104242400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643104242409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134702106 + ... + 134781094.

It is an arithmetic number, because the mean of its divisors is an integer number (206221325730).

Almost surely, 2^{10643104242400} is an apocalyptic number.

10643104242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10643104242400 is an abundant number, since it is smaller than the sum of its proper divisors (19052766662720).

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

10643104242400 is a wasteful number, since it uses less digits than its factorization.

10643104242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103077 (or 103064 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 10643104242400 in words is "ten trillion, six hundred forty-three billion, one hundred four million, two hundred forty-two thousand, four hundred".