102890304 has 112 divisors (see below), whose sum is σ = 330037440. Its totient is φ = 31173120.

The previous prime is 102890297. The next prime is 102890317. The reversal of 102890304 is 403098201.

102890304 = T₁₄₉ + T₁₅₀ + ... + T₈₅₂.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16302 + ... + 21714.

Almost surely, 2^102890304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165018720).

102890304 is an abundant number, since it is smaller than the sum of its proper divisors (227147136).

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

102890304 is a wasteful number, since it uses less digits than its factorization.

102890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102890304 is about 10143.4857913836. The cubic root of 102890304 is about 468.5883461782.

The spelling of 102890304 in words is "one hundred two million, eight hundred ninety thousand, three hundred four".