105450250433000 has 192 divisors, whose sum is σ = 271273116638160. Its totient is φ = 38338745280000.

The previous prime is 105450250432987. The next prime is 105450250433023. The reversal of 105450250433000 is 334052054501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4252726581796 + 101197523851204 = 2062214^2 + 10059698^2 .

It is a super-2 number, since 2×105450250433000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709106654 + ... + 709255346.

Almost surely, 2^{105450250433000} is an apocalyptic number.

105450250433000 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 105450250433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135636558319080).

105450250433000 is an abundant number, since it is smaller than the sum of its proper divisors (165822866205160).

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

105450250433000 is a wasteful number, since it uses less digits than its factorization.

105450250433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154597 (or 154572 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 105450250433000 in words is "one hundred five trillion, four hundred fifty billion, two hundred fifty million, four hundred thirty-three thousand".