105010415000 has 40 divisors (see below), whose sum is σ = 246039414060. Its totient is φ = 42004164000.

The previous prime is 105010414921. The next prime is 105010415021. The reversal of 105010415000 is 514010501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105010415000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105010415000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10496042 + ... + 10506041.

Almost surely, 2^105010415000 is an apocalyptic number.

105010415000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010415000 is an abundant number, since it is smaller than the sum of its proper divisors (141028999060).

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

105010415000 is an equidigital number, since it uses as much as digits as its factorization.

105010415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21002109 (or 21002090 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

Adding to 105010415000 its reverse (514010501), we get a palindrome (105524425501).

The spelling of 105010415000 in words is "one hundred five billion, ten million, four hundred fifteen thousand".