100755605000 has 100 divisors (see below), whose sum is σ = 239647206315. Its totient is φ = 39700716000.

The previous prime is 100755604987. The next prime is 100755605009. The reversal of 100755605000 is 506557001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 23294695876 + 77460909124 = 152626^2 + 278318^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224450.

It is not an unprimeable number, because it can be changed into a prime (100755605009) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 1503814967 + ... + 1503815033.

Almost surely, 2^100755605000 is an apocalyptic number.

100755605000 is a gapful number since it is divisible by the number (10) 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 100755605000

100755605000 is an abundant number, since it is smaller than the sum of its proper divisors (138891601315).

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

100755605000 is an frugal number, since it uses more digits than its factorization.

100755605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 29.

The spelling of 100755605000 in words is "one hundred billion, seven hundred fifty-five million, six hundred five thousand".