105194778 has 64 divisors (see below), whose sum is σ = 238436352. Its totient is φ = 30697920.

The previous prime is 105194777. The next prime is 105194797. The reversal of 105194778 is 877491501.

It is a super-2 number, since 2×105194778² = 22131882636938568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105194777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342501 + ... + 342807.

It is an arithmetic number, because the mean of its divisors is an integer number (3725568).

Almost surely, 2^105194778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105194778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119218176).

105194778 is an abundant number, since it is smaller than the sum of its proper divisors (133241574).

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

105194778 is a wasteful number, since it uses less digits than its factorization.

105194778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 105194778 is about 10256.4505556260. The cubic root of 105194778 is about 472.0609330748.

The spelling of 105194778 in words is "one hundred five million, one hundred ninety-four thousand, seven hundred seventy-eight".