105414610000 has 200 divisors, whose sum is σ = 293640305024. Its totient is φ = 35899200000.

The previous prime is 105414609961. The next prime is 105414610001. The reversal of 105414610000 is 16414501.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×105414610000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414610001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10565014 + ... + 10574986.

Almost surely, 2^105414610000 is an apocalyptic number.

105414610000 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 105414610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146820152512).

105414610000 is an abundant number, since it is smaller than the sum of its proper divisors (188225695024).

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

105414610000 is an equidigital number, since it uses as much as digits as its factorization.

105414610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 105414610000 in words is "one hundred five billion, four hundred fourteen million, six hundred ten thousand".