102100089 has 32 divisors (see below), whose sum is σ = 169222144. Its totient is φ = 53317440.

The previous prime is 102100073. The next prime is 102100093. The reversal of 102100089 is 980001201.

It is not a de Polignac number, because 102100089 - 2⁴ = 102100073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102100069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26304 + ... + 29934.

It is an arithmetic number, because the mean of its divisors is an integer number (5288192).

Almost surely, 2^102100089 is an apocalyptic number.

It is an amenable number.

102100089 is a deficient number, since it is larger than the sum of its proper divisors (67122055).

102100089 is a wasteful number, since it uses less digits than its factorization.

102100089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 102100089 is about 10104.4588672526. The cubic root of 102100089 is about 467.3856492509.

The spelling of 102100089 in words is "one hundred two million, one hundred thousand, eighty-nine".