642104261103000 has 128 divisors (see below), whose sum is σ = 2057510302960320. Its totient is φ = 166600024473600.

The previous prime is 642104261102957. The next prime is 642104261103001. The reversal of 642104261103000 is 301162401246.

642104261103000 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642104261103001) 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, 2892250537 + ... + 2892472536.

Almost surely, 2^{642104261103000} is an apocalyptic number.

642104261103000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642104261103000 is an abundant number, since it is smaller than the sum of its proper divisors (1415406041857320).

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

642104261103000 is a wasteful number, since it uses less digits than its factorization.

642104261103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784723134 (or 5784723120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 642104261103000 in words is "six hundred forty-two trillion, one hundred four billion, two hundred sixty-one million, one hundred three thousand".