102711372480 has 1008 divisors, whose sum is σ = 403696444320. Its totient is φ = 23861329920.

The previous prime is 102711372469. The next prime is 102711372493. The reversal of 102711372480 is 84273117201.

102711372480 is a `hidden beast` number, since 10 + 271 + 1 + 372 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1740870691 + ... + 1740870749.

Almost surely, 2^102711372480 is an apocalyptic number.

102711372480 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 102711372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201848222160).

102711372480 is an abundant number, since it is smaller than the sum of its proper divisors (300985071840).

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

102711372480 is a wasteful number, since it uses less digits than its factorization.

102711372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 102711372480 its reverse (84273117201), we get a palindrome (186984489681).

The spelling of 102711372480 in words is "one hundred two billion, seven hundred eleven million, three hundred seventy-two thousand, four hundred eighty".