99450955700100 has 81 divisors (see below), whose sum is σ = 311724433340047. Its totient is φ = 26520175073280.

The previous prime is 99450955700093. The next prime is 99450955700183. The reversal of 99450955700100 is 100755905499.

The square root of 99450955700100 is 9972510.

It is a perfect power (a square), and thus also a powerful number.

99450955700100 is a `hidden beast` number, since 9 + 9 + 4 + 50 + 9 + 5 + 570 + 0 + 10 + 0 = 666.

99450955700100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100617108804 + 99350338591296 = 317202^2 + 9967464^2 .

It is a super-2 number, since 2×99450955700100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 299009092 + ... + 299341508.

Almost surely, 2^{99450955700100} is an apocalyptic number.

99450955700100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99450955700100 is the 9972510-th square number.

It is an amenable number.

99450955700100 is an abundant number, since it is smaller than the sum of its proper divisors (212273477639947).

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

99450955700100 is an frugal number, since it uses more digits than its factorization.

99450955700100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664854 (or 332427 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 99450955700100 in words is "ninety-nine trillion, four hundred fifty billion, nine hundred fifty-five million, seven hundred thousand, one hundred".