102836213760 has 576 divisors, whose sum is σ = 390232533600. Its totient is φ = 23044030464.

The previous prime is 102836213717. The next prime is 102836213797. The reversal of 102836213760 is 67312638201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79779196 + ... + 79780484.

Almost surely, 2^102836213760 is an apocalyptic number.

102836213760 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 102836213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195116266800).

102836213760 is an abundant number, since it is smaller than the sum of its proper divisors (287396319840).

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

102836213760 is a wasteful number, since it uses less digits than its factorization.

102836213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 102836213760 in words is "one hundred two billion, eight hundred thirty-six million, two hundred thirteen thousand, seven hundred sixty".