102152500 has 60 divisors (see below), whose sum is σ = 231254100. Its totient is φ = 39424000.

The previous prime is 102152489. The next prime is 102152503. The reversal of 102152500 is 5251201.

It can be written as a sum of positive squares in 10 ways, for example, as 98962704 + 3189796 = 9948^2 + 1786^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102152503) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 71796 + ... + 73204.

It is an arithmetic number, because the mean of its divisors is an integer number (3854235).

Almost surely, 2^102152500 is an apocalyptic number.

102152500 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 102152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115627050).

102152500 is an abundant number, since it is smaller than the sum of its proper divisors (129101600).

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

102152500 is a wasteful number, since it uses less digits than its factorization.

102152500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 102152500 is about 10107.0519935340. The cubic root of 102152500 is about 467.4656098698.

The spelling of 102152500 in words is "one hundred two million, one hundred fifty-two thousand, five hundred".