100093550688 has 144 divisors (see below), whose sum is σ = 295349483520. Its totient is φ = 33345737856.

The previous prime is 100093550677. The next prime is 100093550719. The reversal of 100093550688 is 886055390001.

100093550688 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 93 + 550 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24251281 + ... + 24255407.

It is an arithmetic number, because the mean of its divisors is an integer number (2051038080).

Almost surely, 2^100093550688 is an apocalyptic number.

100093550688 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 100093550688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147674741760).

100093550688 is an abundant number, since it is smaller than the sum of its proper divisors (195255932832).

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

100093550688 is an equidigital number, since it uses as much as digits as its factorization.

100093550688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 100093550688 in words is "one hundred billion, ninety-three million, five hundred fifty thousand, six hundred eighty-eight".