105190880 has 72 divisors (see below), whose sum is σ = 254365272. Its totient is φ = 41102336.

The previous prime is 105190867. The next prime is 105190903. The reversal of 105190880 is 88091501.

It is a happy number.

It is a super-2 number, since 2×105190880² = 22130242470348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1181876 + ... + 1181964.

It is an arithmetic number, because the mean of its divisors is an integer number (3532851).

Almost surely, 2^105190880 is an apocalyptic number.

105190880 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 105190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127182636).

105190880 is an abundant number, since it is smaller than the sum of its proper divisors (149174392).

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

105190880 is an frugal number, since it uses more digits than its factorization.

105190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 32.

The square root of 105190880 is about 10256.2605271122. The cubic root of 105190880 is about 472.0551022522.

The spelling of 105190880 in words is "one hundred five million, one hundred ninety thousand, eight hundred eighty".