102120590 has 32 divisors (see below), whose sum is σ = 215955936. Its totient is φ = 34277760.

The previous prime is 102120553. The next prime is 102120607. The reversal of 102120590 is 95021201.

It is a super-2 number, since 2×102120590² = 20857229803896200, which contains 22 as substring.

It is a Curzon number.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 34277 + ... + 37136.

It is an arithmetic number, because the mean of its divisors is an integer number (6748623).

Almost surely, 2^102120590 is an apocalyptic number.

102120590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120590 is an abundant number, since it is smaller than the sum of its proper divisors (113835346).

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

102120590 is a wasteful number, since it uses less digits than its factorization.

102120590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71444.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 102120590 is about 10105.4732694714. The cubic root of 102120590 is about 467.4169297719.

Adding to 102120590 its reverse (95021201), we get a palindrome (197141791).

The spelling of 102120590 in words is "one hundred two million, one hundred twenty thousand, five hundred ninety".