100016001565140 has 48 divisors (see below), whose sum is σ = 292220665446528. Its totient is φ = 25511327935104.

The previous prime is 100016001565099. The next prime is 100016001565141. The reversal of 100016001565140 is 41565100610001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100016001565098 and 100016001565107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100016001565141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36237680347 + ... + 36237683106.

It is an arithmetic number, because the mean of its divisors is an integer number (6087930530136).

Almost surely, 2^{100016001565140} is an apocalyptic number.

100016001565140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100016001565140 is an abundant number, since it is smaller than the sum of its proper divisors (192204663881388).

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

100016001565140 is a wasteful number, since it uses less digits than its factorization.

100016001565140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72475363488 (or 72475363486 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 100016001565140 in words is "one hundred trillion, sixteen billion, one million, five hundred sixty-five thousand, one hundred forty".