105312435000 has 80 divisors (see below), whose sum is σ = 328996093800. Its totient is φ = 28083312000.

The previous prime is 105312434993. The next prime is 105312435083. The reversal of 105312435000 is 534213501.

It is a super-2 number, since 2×105312435000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3495415 + ... + 3525414.

Almost surely, 2^105312435000 is an apocalyptic number.

105312435000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105312435000 is an abundant number, since it is smaller than the sum of its proper divisors (223683658800).

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

105312435000 is an equidigital number, since it uses as much as digits as its factorization.

105312435000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020858 (or 7020839 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 105312435000 its reverse (534213501), we get a palindrome (105846648501).

The spelling of 105312435000 in words is "one hundred five billion, three hundred twelve million, four hundred thirty-five thousand".