100815435711048 has 128 divisors (see below), whose sum is σ = 264890545920000. Its totient is φ = 31934054428416.

The previous prime is 100815435711031. The next prime is 100815435711077. The reversal of 100815435711048 is 840117534518001.

It is a junction number, because it is equal to n+sod(n) for n = 100815435710988 and 100815435711006.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 534443515 + ... + 534632117.

It is an arithmetic number, because the mean of its divisors is an integer number (2069457390000).

Almost surely, 2^{100815435711048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100815435711048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132445272960000).

100815435711048 is an abundant number, since it is smaller than the sum of its proper divisors (164075110208952).

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

100815435711048 is a wasteful number, since it uses less digits than its factorization.

100815435711048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202691 (or 202687 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 100815435711048 in words is "one hundred trillion, eight hundred fifteen billion, four hundred thirty-five million, seven hundred eleven thousand, forty-eight".