102509064 has 176 divisors, whose sum is σ = 340120320. Its totient is φ = 28343520.

The previous prime is 102509059. The next prime is 102509087. The reversal of 102509064 is 460905201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 3306729 + ... + 3306759.

Almost surely, 2^102509064 is an apocalyptic number.

102509064 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 102509064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170060160).

102509064 is an abundant number, since it is smaller than the sum of its proper divisors (237611256).

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

102509064 is an frugal number, since it uses more digits than its factorization.

102509064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102509064 is about 10124.6759948158. The cubic root of 102509064 is about 468.0088755713.

The spelling of 102509064 in words is "one hundred two million, five hundred nine thousand, sixty-four".