101828889 has 24 divisors (see below), whose sum is σ = 158783040. Its totient is φ = 62691552.

The previous prime is 101828879. The next prime is 101828899. The reversal of 101828889 is 988828101.

It is an interprime number because it is at equal distance from previous prime (101828879) and next prime (101828899).

It is not a de Polignac number, because 101828889 - 2⁴ = 101828873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101828819) 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 23 ways as a sum of consecutive naturals, for example, 2479 + ... + 14484.

It is an arithmetic number, because the mean of its divisors is an integer number (6615960).

Almost surely, 2^101828889 is an apocalyptic number.

It is an amenable number.

101828889 is a deficient number, since it is larger than the sum of its proper divisors (56954151).

101828889 is a wasteful number, since it uses less digits than its factorization.

101828889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17021 (or 17018 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The square root of 101828889 is about 10091.0301258098. The cubic root of 101828889 is about 466.9714563910.

The spelling of 101828889 in words is "one hundred one million, eight hundred twenty-eight thousand, eight hundred eighty-nine".