100503148879992 has 128 divisors (see below), whose sum is σ = 260800085145600. Its totient is φ = 32236585920000.

The previous prime is 100503148879961. The next prime is 100503148880011. The reversal of 100503148879992 is 299978841305001.

100503148879992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2149730617 + ... + 2149777367.

It is an arithmetic number, because the mean of its divisors is an integer number (2037500665200).

Almost surely, 2^{100503148879992} is an apocalyptic number.

100503148879992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100503148879992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130400042572800).

100503148879992 is an abundant number, since it is smaller than the sum of its proper divisors (160296936265608).

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

100503148879992 is a wasteful number, since it uses less digits than its factorization.

100503148879992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57157 (or 57153 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 100503148879992 in words is "one hundred trillion, five hundred three billion, one hundred forty-eight million, eight hundred seventy-nine thousand, nine hundred ninety-two".