102120410 has 24 divisors (see below), whose sum is σ = 213828660. Its totient is φ = 35012544.

The previous prime is 102120371. The next prime is 102120433. The reversal of 102120410 is 14021201.

It can be written as a sum of positive squares in 2 ways, for example, as 95082001 + 7038409 = 9751^2 + 2653^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102120391 and 102120400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103715 + ... + 104694.

Almost surely, 2^102120410 is an apocalyptic number.

102120410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120410 is an abundant number, since it is smaller than the sum of its proper divisors (111708250).

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

102120410 is a wasteful number, since it uses less digits than its factorization.

102120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208430 (or 208423 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102120410 is about 10105.4643634026. The cubic root of 102120410 is about 467.4166551453.

Adding to 102120410 its reverse (14021201), we get a palindrome (116141611).

The spelling of 102120410 in words is "one hundred two million, one hundred twenty thousand, four hundred ten".