105442170400 has 144 divisors (see below), whose sum is σ = 295306349184. Its totient is φ = 36013639680.

The previous prime is 105442170367. The next prime is 105442170413. The reversal of 105442170400 is 4071244501.

It is a super-4 number, since 4×105442170400⁴ (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 (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437004 + ... + 1508596.

It is an arithmetic number, because the mean of its divisors is an integer number (2050738536).

Almost surely, 2^105442170400 is an apocalyptic number.

105442170400 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 105442170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147653174592).

105442170400 is an abundant number, since it is smaller than the sum of its proper divisors (189864178784).

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

105442170400 is a wasteful number, since it uses less digits than its factorization.

105442170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71883 (or 71870 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 105442170400 in words is "one hundred five billion, four hundred forty-two million, one hundred seventy thousand, four hundred".