105194880 has 192 divisors, whose sum is σ = 415303200. Its totient is φ = 24035328.

The previous prime is 105194839. The next prime is 105194897. The reversal of 105194880 is 88491501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105194880² = 22131925556428800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39016 + ... + 41624.

Almost surely, 2^105194880 is an apocalyptic number.

105194880 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 105194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207651600).

105194880 is an abundant number, since it is smaller than the sum of its proper divisors (310108320).

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

105194880 is a wasteful number, since it uses less digits than its factorization.

105194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105194880 is about 10256.4555281052. The cubic root of 105194880 is about 472.0610856495.

The spelling of 105194880 in words is "one hundred five million, one hundred ninety-four thousand, eight hundred eighty".