10355103350144 has 128 divisors (see below), whose sum is σ = 24453296089920. Its totient is φ = 4275204710400.

The previous prime is 10355103350057. The next prime is 10355103350149. The reversal of 10355103350144 is 44105330155301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×10355103350144³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355103350149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802054 + ... + 4894650.

Almost surely, 2^{10355103350144} is an apocalyptic number.

10355103350144 is a gapful number since it is divisible by the number (14) 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 10355103350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226648044960).

10355103350144 is an abundant number, since it is smaller than the sum of its proper divisors (14098192739776).

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

10355103350144 is a wasteful number, since it uses less digits than its factorization.

10355103350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092756 (or 3092744 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 10355103350144 in words is "ten trillion, three hundred fifty-five billion, one hundred three million, three hundred fifty thousand, one hundred forty-four".