10541106240 has 224 divisors, whose sum is σ = 38712038400. Its totient is φ = 2380240896.

The previous prime is 10541106229. The next prime is 10541106259. The reversal of 10541106240 is 4260114501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10541106240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10541106240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548311 + ... + 567209.

It is an arithmetic number, because the mean of its divisors is an integer number (172821600).

Almost surely, 2^10541106240 is an apocalyptic number.

10541106240 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 10541106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356019200).

10541106240 is an abundant number, since it is smaller than the sum of its proper divisors (28170932160).

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

10541106240 is a wasteful number, since it uses less digits than its factorization.

10541106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19009 (or 18999 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10541106240 in words is "ten billion, five hundred forty-one million, one hundred six thousand, two hundred forty".