102736242 has 96 divisors (see below), whose sum is σ = 272341440. Its totient is φ = 28607040.

The previous prime is 102736237. The next prime is 102736267. The reversal of 102736242 is 242637201.

102736242 is a `hidden beast` number, since 10 + 27 + 3 + 624 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108013 + ... + 108959.

It is an arithmetic number, because the mean of its divisors is an integer number (2836890).

Almost surely, 2^102736242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102736242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136170720).

102736242 is an abundant number, since it is smaller than the sum of its proper divisors (169605198).

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

102736242 is a wasteful number, since it uses less digits than its factorization.

102736242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 102736242 is about 10135.8888115448. Note that the first 4 decimals coincide. The cubic root of 102736242 is about 468.3543503048.

The spelling of 102736242 in words is "one hundred two million, seven hundred thirty-six thousand, two hundred forty-two".