10100880 has 60 divisors (see below), whose sum is σ = 33924540. Its totient is φ = 2693376.

The previous prime is 10100879. The next prime is 10100891. The reversal of 10100880 is 8800101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 8573184 = 1236^2 + 2928^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 6295 + ... + 7734.

It is an arithmetic number, because the mean of its divisors is an integer number (565409).

Almost surely, 2^10100880 is an apocalyptic number.

10100880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100880 is an abundant number, since it is smaller than the sum of its proper divisors (23823660).

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

10100880 is a wasteful number, since it uses less digits than its factorization.

10100880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 14039 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10100880 is about 3178.1881630892. The cubic root of 10100880 is about 216.1655110041.

Adding to 10100880 its reverse (8800101), we get a palindrome (18900981).

The spelling of 10100880 in words is "ten million, one hundred thousand, eight hundred eighty".