102779902080 has 640 divisors, whose sum is σ = 379442448000. Its totient is φ = 26605117440.

The previous prime is 102779902019. The next prime is 102779902087. The reversal of 102779902080 is 80209977201.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (102779902087) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 516481821 + ... + 516482019.

It is an arithmetic number, because the mean of its divisors is an integer number (592878825).

Almost surely, 2^102779902080 is an apocalyptic number.

102779902080 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 102779902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189721224000).

102779902080 is an abundant number, since it is smaller than the sum of its proper divisors (276662545920).

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

102779902080 is an frugal number, since it uses more digits than its factorization.

102779902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 102779902080 in words is "one hundred two billion, seven hundred seventy-nine million, nine hundred two thousand, eighty".