102376890 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 19768320.

The previous prime is 102376861. The next prime is 102376903. The reversal of 102376890 is 98673201.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1295871 + ... + 1295949.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^102376890 is an apocalyptic number.

102376890 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 102376890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

102376890 is an abundant number, since it is smaller than the sum of its proper divisors (256148550).

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

102376890 is a wasteful number, since it uses less digits than its factorization.

102376890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 102376890 is about 10118.1465694069. The cubic root of 102376890 is about 467.8076406484.

The spelling of 102376890 in words is "one hundred two million, three hundred seventy-six thousand, eight hundred ninety".