100903745088 has 280 divisors, whose sum is σ = 303401130560. Its totient is φ = 33155619840.

The previous prime is 100903745083. The next prime is 100903745147. The reversal of 100903745088 is 880547309001.

100903745088 is a `hidden beast` number, since 1 + 0 + 0 + 90 + 37 + 450 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (100903745083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159910533 + ... + 159911163.

Almost surely, 2^100903745088 is an apocalyptic number.

100903745088 is a gapful number since it is divisible by the number (18) 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 100903745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151700565280).

100903745088 is an abundant number, since it is smaller than the sum of its proper divisors (202497385472).

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

100903745088 is a wasteful number, since it uses less digits than its factorization.

100903745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 100903745088 in words is "one hundred billion, nine hundred three million, seven hundred forty-five thousand, eighty-eight".