105442195500 has 336 divisors, whose sum is σ = 346580017056. Its totient is φ = 28011484800.

The previous prime is 105442195477. The next prime is 105442195519. The reversal of 105442195500 is 5591244501.

105442195500 is a `hidden beast` number, since 1 + 0 + 5 + 44 + 21 + 95 + 500 = 666.

It is a super-4 number, since 4×105442195500⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 161473174 + ... + 161473826.

It is an arithmetic number, because the mean of its divisors is an integer number (1031488146).

Almost surely, 2^105442195500 is an apocalyptic number.

105442195500 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 105442195500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173290008528).

105442195500 is an abundant number, since it is smaller than the sum of its proper divisors (241137821556).

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

105442195500 is an equidigital number, since it uses as much as digits as its factorization.

105442195500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 105442195500 in words is "one hundred five billion, four hundred forty-two million, one hundred ninety-five thousand, five hundred".