102093094440 has 128 divisors (see below), whose sum is σ = 358221456000. Its totient is φ = 25791934464.

The previous prime is 102093094427. The next prime is 102093094463. The reversal of 102093094440 is 44490390201.

102093094440 is a `hidden beast` number, since 1 + 0 + 209 + 3 + 0 + 9 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102093094395 and 102093094404.

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, 2467129 + ... + 2508168.

It is an arithmetic number, because the mean of its divisors is an integer number (2798605125).

Almost surely, 2^102093094440 is an apocalyptic number.

102093094440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102093094440 is an abundant number, since it is smaller than the sum of its proper divisors (256128361560).

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

102093094440 is a wasteful number, since it uses less digits than its factorization.

102093094440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975336 (or 4975326 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 102093094440 in words is "one hundred two billion, ninety-three million, ninety-four thousand, four hundred forty".