102890205 has 48 divisors (see below), whose sum is σ = 206017344. Its totient is φ = 46947840.

The previous prime is 102890113. The next prime is 102890213. The reversal of 102890205 is 502098201.

It is not a de Polignac number, because 102890205 - 2¹⁰ = 102889181 is a prime.

It is a super-4 number, since 4×102890205⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2302 + ... + 14528.

It is an arithmetic number, because the mean of its divisors is an integer number (4292028).

Almost surely, 2^102890205 is an apocalyptic number.

102890205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102890205 is an abundant number, since it is smaller than the sum of its proper divisors (103127139).

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

102890205 is a wasteful number, since it uses less digits than its factorization.

102890205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12266 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 102890205 is about 10143.4809114031. The cubic root of 102890205 is about 468.5881958879.

The spelling of 102890205 in words is "one hundred two million, eight hundred ninety thousand, two hundred five".