102623511504 has 160 divisors (see below), whose sum is σ = 278250762240. Its totient is φ = 32550336000.

The previous prime is 102623511481. The next prime is 102623511511. The reversal of 102623511504 is 405115326201.

It is a super-2 number, since 2×102623511504² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27533289 + ... + 27537015.

It is an arithmetic number, because the mean of its divisors is an integer number (1739067264).

Almost surely, 2^102623511504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102623511504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139125381120).

102623511504 is an abundant number, since it is smaller than the sum of its proper divisors (175627250736).

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

102623511504 is a wasteful number, since it uses less digits than its factorization.

102623511504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 102623511504 its reverse (405115326201), we get a palindrome (507738837705).

The spelling of 102623511504 in words is "one hundred two billion, six hundred twenty-three million, five hundred eleven thousand, five hundred four".