102145320 has 128 divisors (see below), whose sum is σ = 342720000. Its totient is φ = 27060480.

The previous prime is 102145301. The next prime is 102145327. The reversal of 102145320 is 23541201.

Added to its reverse (23541201) it gives a square (125686521 = 11211²).

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 = 102145293 and 102145302.

It is not an unprimeable number, because it can be changed into a prime (102145327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292506 + ... + 292854.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2^102145320 is an apocalyptic number.

102145320 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 102145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360000).

102145320 is an abundant number, since it is smaller than the sum of its proper divisors (240574680).

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

102145320 is a wasteful number, since it uses less digits than its factorization.

102145320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102145320 is about 10106.6967897528. The cubic root of 102145320 is about 467.4546573504.

Adding to 102145320 its reverse (23541201), we get a palindrome (125686521).

The spelling of 102145320 in words is "one hundred two million, one hundred forty-five thousand, three hundred twenty".