10343040104100 has 288 divisors, whose sum is σ = 32827998873600. Its totient is φ = 2493469440000.

The previous prime is 10343040104083. The next prime is 10343040104183. The reversal of 10343040104100 is 140104034301.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1839413889 + ... + 1839419511.

It is an arithmetic number, because the mean of its divisors is an integer number (113986107200).

Almost surely, 2^{10343040104100} is an apocalyptic number.

10343040104100 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 10343040104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413999436800).

10343040104100 is an abundant number, since it is smaller than the sum of its proper divisors (22484958769500).

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

10343040104100 is a wasteful number, since it uses less digits than its factorization.

10343040104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10343040104100 its reverse (140104034301), we get a palindrome (10483144138401).

The spelling of 10343040104100 in words is "ten trillion, three hundred forty-three billion, forty million, one hundred four thousand, one hundred".