100041465060 has 144 divisors (see below), whose sum is σ = 311858457456. Its totient is φ = 25940238336.

The previous prime is 100041465059. The next prime is 100041465077. The reversal of 100041465060 is 60564140001.

100041465060 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 1 + 4 + 650 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5758077924 + 94283387136 = 75882^2 + 307056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13269612 + ... + 13277148.

Almost surely, 2^100041465060 is an apocalyptic number.

100041465060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100041465060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155929228728).

100041465060 is an abundant number, since it is smaller than the sum of its proper divisors (211816992396).

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

100041465060 is a wasteful number, since it uses less digits than its factorization.

100041465060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 100041465060 in words is "one hundred billion, forty-one million, four hundred sixty-five thousand, sixty".