10102073904 has 240 divisors, whose sum is σ = 32099820480. Its totient is φ = 2943682560.

The previous prime is 10102073873. The next prime is 10102073923. The reversal of 10102073904 is 40937020101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2875509 + ... + 2879019.

It is an arithmetic number, because the mean of its divisors is an integer number (133749252).

Almost surely, 2^10102073904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102073904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16049910240).

10102073904 is an abundant number, since it is smaller than the sum of its proper divisors (21997746576).

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

10102073904 is a wasteful number, since it uses less digits than its factorization.

10102073904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10102073904 in words is "ten billion, one hundred two million, seventy-three thousand, nine hundred four".