10190880 has 192 divisors, whose sum is σ = 40884480. Its totient is φ = 2322432.

The previous prime is 10190879. The next prime is 10190891. The reversal of 10190880 is 8809101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30072 + ... + 30408.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 2^10190880 is an apocalyptic number.

10190880 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 10190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

10190880 is an abundant number, since it is smaller than the sum of its proper divisors (30693600).

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

10190880 is a wasteful number, since it uses less digits than its factorization.

10190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10190880 is about 3192.3157738545. The cubic root of 10190880 is about 216.8056334007.

Adding to 10190880 its reverse (8809101), we get a palindrome (18999981).

The spelling of 10190880 in words is "ten million, one hundred ninety thousand, eight hundred eighty".