102909768 has 64 divisors (see below), whose sum is σ = 278040000. Its totient is φ = 31553280.

The previous prime is 102909767. The next prime is 102909799. The reversal of 102909768 is 867909201.

It is not an unprimeable number, because it can be changed into a prime (102909767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155358 + ... + 156018.

It is an arithmetic number, because the mean of its divisors is an integer number (4344375).

Almost surely, 2^102909768 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 102909768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139020000).

102909768 is an abundant number, since it is smaller than the sum of its proper divisors (175130232).

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

102909768 is a wasteful number, since it uses less digits than its factorization.

102909768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 102909768 is about 10144.4451795059. The cubic root of 102909768 is about 468.6178923005.

The spelling of 102909768 in words is "one hundred two million, nine hundred nine thousand, seven hundred sixty-eight".