102129540 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 25460736.

The previous prime is 102129539. The next prime is 102129563. The reversal of 102129540 is 45921201.

It is a super-5 number, since 5×102129540⁵ (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102129540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227236 + ... + 227684.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^102129540 is an apocalyptic number.

102129540 is a gapful number since it is divisible by the number (10) 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 102129540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

102129540 is an abundant number, since it is smaller than the sum of its proper divisors (202689660).

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

102129540 is a wasteful number, since it uses less digits than its factorization.

102129540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 102129540 is about 10105.9160891035. The cubic root of 102129540 is about 467.4305844107.

The spelling of 102129540 in words is "one hundred two million, one hundred twenty-nine thousand, five hundred forty".