102628890 has 128 divisors (see below), whose sum is σ = 336913920. Its totient is φ = 21648384.

The previous prime is 102628873. The next prime is 102628909. The reversal of 102628890 is 98826201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22482 + ... + 26658.

It is an arithmetic number, because the mean of its divisors is an integer number (2632140).

Almost surely, 2^102628890 is an apocalyptic number.

102628890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102628890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168456960).

102628890 is an abundant number, since it is smaller than the sum of its proper divisors (234285030).

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

102628890 is a wasteful number, since it uses less digits than its factorization.

102628890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 102628890 is about 10130.5917892293. The cubic root of 102628890 is about 468.1911612231.

The spelling of 102628890 in words is "one hundred two million, six hundred twenty-eight thousand, eight hundred ninety".