102083890 has 32 divisors (see below), whose sum is σ = 193933440. Its totient is φ = 38611584.

The previous prime is 102083881. The next prime is 102083893. The reversal of 102083890 is 98380201.

It is a super-2 number, since 2×102083890² = 20842241195064200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102083893) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17977 + ... + 22963.

It is an arithmetic number, because the mean of its divisors is an integer number (6060420).

Almost surely, 2^102083890 is an apocalyptic number.

102083890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102083890 is a deficient number, since it is larger than the sum of its proper divisors (91849550).

102083890 is a wasteful number, since it uses less digits than its factorization.

102083890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 102083890 is about 10103.6572586366. The cubic root of 102083890 is about 467.3609297799.

The spelling of 102083890 in words is "one hundred two million, eighty-three thousand, eight hundred ninety".