102535620 has 96 divisors (see below), whose sum is σ = 314810496. Its totient is φ = 24729600.

The previous prime is 102535613. The next prime is 102535637. The reversal of 102535620 is 26535201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222190 + ... + 222650.

It is an arithmetic number, because the mean of its divisors is an integer number (3279276).

Almost surely, 2^102535620 is an apocalyptic number.

102535620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102535620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157405248).

102535620 is an abundant number, since it is smaller than the sum of its proper divisors (212274876).

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

102535620 is a wasteful number, since it uses less digits than its factorization.

102535620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 102535620 is about 10125.9873592653. The cubic root of 102535620 is about 468.0492862112.

The spelling of 102535620 in words is "one hundred two million, five hundred thirty-five thousand, six hundred twenty".