105151430000 has 100 divisors (see below), whose sum is σ = 255602499768. Its totient is φ = 41892000000.

The previous prime is 105151429997. The next prime is 105151430039. The reversal of 105151430000 is 34151501.

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

It is a super-2 number, since 2×105151430000² (a number of 23 digits) contains 22 as substring.

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

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, 2489054 + ... + 2530946.

Almost surely, 2^105151430000 is an apocalyptic number.

105151430000 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 105151430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127801249884).

105151430000 is an abundant number, since it is smaller than the sum of its proper divisors (150451069768).

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

105151430000 is an equidigital number, since it uses as much as digits as its factorization.

105151430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42172 (or 42151 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 105151430000 its reverse (34151501), we get a palindrome (105185581501).

The spelling of 105151430000 in words is "one hundred five billion, one hundred fifty-one million, four hundred thirty thousand".