105011430000 has 100 divisors (see below), whose sum is σ = 338990994408. Its totient is φ = 28003040000.

The previous prime is 105011429951. The next prime is 105011430001. The reversal of 105011430000 is 34110501.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×105011430000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011430001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1720191 + ... + 1780190.

Almost surely, 2^105011430000 is an apocalyptic number.

105011430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011430000 is an abundant number, since it is smaller than the sum of its proper divisors (233979564408).

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

105011430000 is an equidigital number, since it uses as much as digits as its factorization.

105011430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500412 (or 3500391 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 105011430000 its reverse (34110501), we get a palindrome (105045540501).

The spelling of 105011430000 in words is "one hundred five billion, eleven million, four hundred thirty thousand".