102034782080 has 256 divisors, whose sum is σ = 307977984000. Its totient is φ = 31399280640.

The previous prime is 102034782071. The next prime is 102034782103. The reversal of 102034782080 is 80287430201.

It is a super-2 number, since 2×102034782080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 102034782080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3880016 + ... + 3906224.

It is an arithmetic number, because the mean of its divisors is an integer number (1203039000).

Almost surely, 2^102034782080 is an apocalyptic number.

102034782080 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 102034782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153988992000).

102034782080 is an abundant number, since it is smaller than the sum of its proper divisors (205943201920).

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

102034782080 is a wasteful number, since it uses less digits than its factorization.

102034782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26325 (or 26313 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 102034782080 in words is "one hundred two billion, thirty-four million, seven hundred eighty-two thousand, eighty".