102929064 has 64 divisors (see below), whose sum is σ = 295488000. Its totient is φ = 29267904.

The previous prime is 102929053. The next prime is 102929077. The reversal of 102929064 is 460929201.

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, 36787 + ... + 39485.

It is an arithmetic number, because the mean of its divisors is an integer number (4617000).

Almost surely, 2^102929064 is an apocalyptic number.

102929064 is a gapful number since it is divisible by the number (14) 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 102929064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

102929064 is an abundant number, since it is smaller than the sum of its proper divisors (192558936).

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

102929064 is a wasteful number, since it uses less digits than its factorization.

102929064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 102929064 is about 10145.3961972907. The cubic root of 102929064 is about 468.6471797236.

The spelling of 102929064 in words is "one hundred two million, nine hundred twenty-nine thousand, sixty-four".