100105000499152 has 120 divisors (see below), whose sum is σ = 214228493625608. Its totient is φ = 45280833269760.

The previous prime is 100105000499131. The next prime is 100105000499171. The reversal of 100105000499152 is 251994000501001.

It can be written as a sum of positive squares in 4 ways, for example, as 64490793339456 + 35614207159696 = 8030616^2 + 5967764^2 .

It is a super-2 number, since 2×100105000499152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329860828 + ... + 330164164.

Almost surely, 2^{100105000499152} 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 100105000499152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107114246812804).

100105000499152 is an abundant number, since it is smaller than the sum of its proper divisors (114123493126456).

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

100105000499152 is a wasteful number, since it uses less digits than its factorization.

100105000499152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304197 (or 304180 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 37.

The spelling of 100105000499152 in words is "one hundred trillion, one hundred five billion, four hundred ninety-nine thousand, one hundred fifty-two".