105040000800 has 576 divisors, whose sum is σ = 436472064000. Its totient is φ = 23881651200.

The previous prime is 105040000781. The next prime is 105040000861. The reversal of 105040000800 is 8000040501.

It is a super-2 number, since 2×105040000800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30087055 + ... + 30090545.

It is an arithmetic number, because the mean of its divisors is an integer number (757764000).

Almost surely, 2^105040000800 is an apocalyptic number.

105040000800 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 105040000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218236032000).

105040000800 is an abundant number, since it is smaller than the sum of its proper divisors (331432063200).

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

105040000800 is a wasteful number, since it uses less digits than its factorization.

105040000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 105040000800 in words is "one hundred five billion, forty million, eight hundred", and thus it is an aban number.