102601870560 has 576 divisors, whose sum is σ = 428388839424. Its totient is φ = 22693478400.

The previous prime is 102601870549. The next prime is 102601870577. The reversal of 102601870560 is 65078106201.

102601870560 is a `hidden beast` number, since 1 + 0 + 26 + 0 + 1 + 8 + 70 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8430880 + ... + 8443040.

It is an arithmetic number, because the mean of its divisors is an integer number (743730624).

Almost surely, 2^102601870560 is an apocalyptic number.

102601870560 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 102601870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214194419712).

102601870560 is an abundant number, since it is smaller than the sum of its proper divisors (325786968864).

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

102601870560 is a wasteful number, since it uses less digits than its factorization.

102601870560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 102601870560 its reverse (65078106201), we get a palindrome (167679976761).

The spelling of 102601870560 in words is "one hundred two billion, six hundred one million, eight hundred seventy thousand, five hundred sixty".