102316032 has 288 divisors, whose sum is σ = 369663840. Its totient is φ = 26542080.

The previous prime is 102316003. The next prime is 102316037. The reversal of 102316032 is 230613201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102315996 and 102316014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102316037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677282 + ... + 1677342.

It is an arithmetic number, because the mean of its divisors is an integer number (1283555).

Almost surely, 2^102316032 is an apocalyptic number.

102316032 is a gapful number since it is divisible by the number (12) 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 102316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184831920).

102316032 is an abundant number, since it is smaller than the sum of its proper divisors (267347808).

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

102316032 is a wasteful number, since it uses less digits than its factorization.

102316032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102316032 is about 10115.1387533736. The cubic root of 102316032 is about 467.7149261027.

Adding to 102316032 its reverse (230613201), we get a palindrome (332929233).

The spelling of 102316032 in words is "one hundred two million, three hundred sixteen thousand, thirty-two".