105011400512000 has 160 divisors (see below), whose sum is σ = 265760747366400. Its totient is φ = 41377624780800.

The previous prime is 105011400511993. The next prime is 105011400512087. The reversal of 105011400512000 is 215004110501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×105011400512000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7956800 + ... + 16532799.

It is an arithmetic number, because the mean of its divisors is an integer number (1661004671040).

Almost surely, 2^{105011400512000} is an apocalyptic number.

105011400512000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011400512000 is an abundant number, since it is smaller than the sum of its proper divisors (160749346854400).

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

105011400512000 is an frugal number, since it uses more digits than its factorization.

105011400512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24489699 (or 24489673 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 105011400512000 its reverse (215004110501), we get a palindrome (105226404622501).

The spelling of 105011400512000 in words is "one hundred five trillion, eleven billion, four hundred million, five hundred twelve thousand".