102306072528 has 240 divisors, whose sum is σ = 322914189312. Its totient is φ = 29955744000.

The previous prime is 102306072523. The next prime is 102306072587. The reversal of 102306072528 is 825270603201.

102306072528 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 60 + 72 + 528 = 666.

It is a super-2 number, since 2×102306072528² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102306072492 and 102306072501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102306072521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44732601 + ... + 44734887.

Almost surely, 2^102306072528 is an apocalyptic number.

102306072528 is a gapful number since it is divisible by the number (18) 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 102306072528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161457094656).

102306072528 is an abundant number, since it is smaller than the sum of its proper divisors (220608116784).

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

102306072528 is a wasteful number, since it uses less digits than its factorization.

102306072528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 102306072528 its reverse (825270603201), we get a palindrome (927576675729).

The spelling of 102306072528 in words is "one hundred two billion, three hundred six million, seventy-two thousand, five hundred twenty-eight".