102512160 has 144 divisors (see below), whose sum is σ = 352451736. Its totient is φ = 27131904.

The previous prime is 102512117. The next prime is 102512161. The reversal of 102512160 is 61215201.

It can be written as a sum of positive squares in 4 ways, for example, as 92852496 + 9659664 = 9636^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (102512161) 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, 369942 + ... + 370218.

Almost surely, 2^102512160 is an apocalyptic number.

102512160 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 102512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176225868).

102512160 is an abundant number, since it is smaller than the sum of its proper divisors (249939576).

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

102512160 is a wasteful number, since it uses less digits than its factorization.

102512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 102512160 is about 10124.8288874430. The cubic root of 102512160 is about 468.0135871576.

Adding to 102512160 its reverse (61215201), we get a palindrome (163727361).

The spelling of 102512160 in words is "one hundred two million, five hundred twelve thousand, one hundred sixty".