102253000520 has 96 divisors (see below), whose sum is σ = 253444879800. Its totient is φ = 37100743680.

The previous prime is 102253000519. The next prime is 102253000567. The reversal of 102253000520 is 25000352201.

102253000520 = 29010² + 29011² + ... + 29130².

It can be written as a sum of positive squares in 4 ways, for example, as 100683097636 + 1569902884 = 317306^2 + 39622^2 .

It is a super-2 number, since 2×102253000520² (a number of 23 digits) contains 22 as substring.

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 = 102253000492 and 102253000501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2188766 + ... + 2234994.

Almost surely, 2^102253000520 is an apocalyptic number.

102253000520 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 102253000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126722439900).

102253000520 is an abundant number, since it is smaller than the sum of its proper divisors (151191879280).

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

102253000520 is a wasteful number, since it uses less digits than its factorization.

102253000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46719 (or 46704 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 102253000520 its reverse (25000352201), we get a palindrome (127253352721).

The spelling of 102253000520 in words is "one hundred two billion, two hundred fifty-three million, five hundred twenty", and thus it is an aban number.