1008381567102 has 64 divisors (see below), whose sum is σ = 2612810565120. Its totient is φ = 251949585024.

The previous prime is 1008381567101. The next prime is 1008381567131. The reversal of 1008381567102 is 2017651838001.

1008381567102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008381567101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48591013 + ... + 48611760.

It is an arithmetic number, because the mean of its divisors is an integer number (40825165080).

Almost surely, 2^{1008381567102} is an apocalyptic number.

1008381567102 is an abundant number, since it is smaller than the sum of its proper divisors (1604428998018).

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

1008381567102 is a wasteful number, since it uses less digits than its factorization.

1008381567102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97202817.

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 1008381567102 in words is "one trillion, eight billion, three hundred eighty-one million, five hundred sixty-seven thousand, one hundred two".