102217561960 has 64 divisors (see below), whose sum is σ = 230719266000. Its totient is φ = 40757477376.

The previous prime is 102217561867. The next prime is 102217561973. The reversal of 102217561960 is 69165712201.

It can be written as a sum of positive squares in 8 ways, for example, as 92145030916 + 10072531044 = 303554^2 + 100362^2 .

It is a super-3 number, since 3×102217561960³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 26093922 + ... + 26097838.

Almost surely, 2^102217561960 is an apocalyptic number.

102217561960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102217561960 is an abundant number, since it is smaller than the sum of its proper divisors (128501704040).

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

102217561960 is a wasteful number, since it uses less digits than its factorization.

102217561960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 102217561960 in words is "one hundred two billion, two hundred seventeen million, five hundred sixty-one thousand, nine hundred sixty".