10105469870240 has 96 divisors (see below), whose sum is σ = 24650112969216. Its totient is φ = 3910873236480.

The previous prime is 10105469870239. The next prime is 10105469870269. The reversal of 10105469870240 is 4207896450101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21005834 + ... + 21481526.

It is an arithmetic number, because the mean of its divisors is an integer number (256772010096).

Almost surely, 2^{10105469870240} is an apocalyptic number.

10105469870240 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 10105469870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325056484608).

10105469870240 is an abundant number, since it is smaller than the sum of its proper divisors (14544643098976).

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

10105469870240 is a wasteful number, since it uses less digits than its factorization.

10105469870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480022 (or 480014 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 10105469870240 in words is "ten trillion, one hundred five billion, four hundred sixty-nine million, eight hundred seventy thousand, two hundred forty".