102077759040 has 112 divisors (see below), whose sum is σ = 332001815040. Its totient is φ = 26556805120.

The previous prime is 102077759033. The next prime is 102077759093. The reversal of 102077759040 is 40957770201.

It is a junction number, because it is equal to n+sod(n) for n = 102077758983 and 102077759001.

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 15 ways as a sum of consecutive naturals, for example, 1257360 + ... + 1336079.

It is an arithmetic number, because the mean of its divisors is an integer number (2964301920).

Almost surely, 2^102077759040 is an apocalyptic number.

102077759040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102077759040 is an abundant number, since it is smaller than the sum of its proper divisors (229924056000).

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

102077759040 is a wasteful number, since it uses less digits than its factorization.

102077759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593500 (or 2593490 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 102077759040 in words is "one hundred two billion, seventy-seven million, seven hundred fifty-nine thousand, forty".