102434500 has 144 divisors (see below), whose sum is σ = 269641008. Its totient is φ = 33868800.

The previous prime is 102434483. The next prime is 102434513. The reversal of 102434500 is 5434201.

It can be written as a sum of positive squares in 8 ways, for example, as 42928704 + 59505796 = 6552^2 + 7714^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906444 + ... + 906556.

It is an arithmetic number, because the mean of its divisors is an integer number (1872507).

Almost surely, 2^102434500 is an apocalyptic number.

102434500 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 102434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134820504).

102434500 is an abundant number, since it is smaller than the sum of its proper divisors (167206508).

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

102434500 is a wasteful number, since it uses less digits than its factorization.

102434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 102434500 is about 10120.9930342828. The cubic root of 102434500 is about 467.8953731583.

Adding to 102434500 its reverse (5434201), we get a palindrome (107868701).

The spelling of 102434500 in words is "one hundred two million, four hundred thirty-four thousand, five hundred".