102735052 has 48 divisors (see below), whose sum is σ = 223776000. Its totient is φ = 40267584.

The previous prime is 102735049. The next prime is 102735077. The reversal of 102735052 is 250537201.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12099 + ... + 18757.

It is an arithmetic number, because the mean of its divisors is an integer number (4662000).

Almost surely, 2^102735052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102735052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888000).

102735052 is an abundant number, since it is smaller than the sum of its proper divisors (121040948).

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

102735052 is a wasteful number, since it uses less digits than its factorization.

102735052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 102735052 is about 10135.8301090735. The cubic root of 102735052 is about 468.3525419724.

The spelling of 102735052 in words is "one hundred two million, seven hundred thirty-five thousand, fifty-two".