100903988787904 has 112 divisors (see below), whose sum is σ = 203475348679680. Its totient is φ = 49639713546240.

The previous prime is 100903988787871. The next prime is 100903988787907. The reversal of 100903988787904 is 409787889309001.

It is a super-2 number, since 2×100903988787904² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100903988787907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5743288432 + ... + 5743306000.

It is an arithmetic number, because the mean of its divisors is an integer number (1816744184640).

Almost surely, 2^{100903988787904} 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 100903988787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101737674339840).

100903988787904 is an abundant number, since it is smaller than the sum of its proper divisors (102571359891776).

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

100903988787904 is a wasteful number, since it uses less digits than its factorization.

100903988787904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22038 (or 22028 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 73.

The spelling of 100903988787904 in words is "one hundred trillion, nine hundred three billion, nine hundred eighty-eight million, seven hundred eighty-seven thousand, nine hundred four".