102534320 has 80 divisors (see below), whose sum is σ = 273845568. Its totient is φ = 34974720.

The previous prime is 102534301. The next prime is 102534331. The reversal of 102534320 is 23435201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102534292 and 102534301.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154790 + ... + 155450.

Almost surely, 2^102534320 is an apocalyptic number.

102534320 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 102534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136922784).

102534320 is an abundant number, since it is smaller than the sum of its proper divisors (171311248).

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

102534320 is a wasteful number, since it uses less digits than its factorization.

102534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 102534320 is about 10125.9231677907. The cubic root of 102534320 is about 468.0473081453.

Adding to 102534320 its reverse (23435201), we get a palindrome (125969521).

The spelling of 102534320 in words is "one hundred two million, five hundred thirty-four thousand, three hundred twenty".