100444525155040 has 96 divisors (see below), whose sum is σ = 259275539972736. Its totient is φ = 36468476981760.

The previous prime is 100444525154957. The next prime is 100444525155049. The reversal of 100444525155040 is 40551525444001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 100444525154984 and 100444525155002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444525155049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43246822 + ... + 45510181.

It is an arithmetic number, because the mean of its divisors is an integer number (2700786874716).

Almost surely, 2^{100444525155040} is an apocalyptic number.

100444525155040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100444525155040 is an abundant number, since it is smaller than the sum of its proper divisors (158831014817696).

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

100444525155040 is a wasteful number, since it uses less digits than its factorization.

100444525155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88757672 (or 88757664 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 100444525155040 in words is "one hundred trillion, four hundred forty-four billion, five hundred twenty-five million, one hundred fifty-five thousand, forty".