100440055125 has 24 divisors (see below), whose sum is σ = 181059941400. Its totient is φ = 53568028800.

The previous prime is 100440055123. The next prime is 100440055127. The reversal of 100440055125 is 521550044001.

100440055125 is a `hidden beast` number, since 100 + 4 + 4 + 0 + 0 + 551 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (100440055123) and next prime (100440055127).

It can be written as a sum of positive squares in 4 ways, for example, as 5235101316 + 95204953809 = 72354^2 + 308553^2 .

It is not a de Polignac number, because 100440055125 - 2¹ = 100440055123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440055123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44638900 + ... + 44641149.

It is an arithmetic number, because the mean of its divisors is an integer number (7544164225).

Almost surely, 2^100440055125 is an apocalyptic number.

100440055125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100440055125 is a deficient number, since it is larger than the sum of its proper divisors (80619886275).

100440055125 is an equidigital number, since it uses as much as digits as its factorization.

100440055125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89280070 (or 89280057 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 100440055125 its reverse (521550044001), we get a palindrome (621990099126).

The spelling of 100440055125 in words is "one hundred billion, four hundred forty million, fifty-five thousand, one hundred twenty-five".