102818373840 has 2160 divisors, whose sum is σ = 494030130048. Its totient is φ = 19658225664.

The previous prime is 102818373811. The next prime is 102818373869. The reversal of 102818373840 is 48373818201.

It is an interprime number because it is at equal distance from previous prime (102818373811) and next prime (102818373869).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 4470364069 + ... + 4470364091.

Almost surely, 2^102818373840 is an apocalyptic number.

102818373840 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 102818373840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247015065024).

102818373840 is an abundant number, since it is smaller than the sum of its proper divisors (391211756208).

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

102818373840 is a wasteful number, since it uses less digits than its factorization.

102818373840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 102818373840 in words is "one hundred two billion, eight hundred eighteen million, three hundred seventy-three thousand, eight hundred forty".