101577473107840 has 128 divisors (see below), whose sum is σ = 245698710372000. Its totient is φ = 40152113971200.

The previous prime is 101577473107837. The next prime is 101577473107841. The reversal of 101577473107840 is 48701374775101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101577473107841) 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, 102089871 + ... + 103080049.

Almost surely, 2^{101577473107840} is an apocalyptic number.

101577473107840 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 101577473107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122849355186000).

101577473107840 is an abundant number, since it is smaller than the sum of its proper divisors (144121237264160).

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

101577473107840 is an equidigital number, since it uses as much as digits as its factorization.

101577473107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992088 (or 992076 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 55.

The spelling of 101577473107840 in words is "one hundred one trillion, five hundred seventy-seven billion, four hundred seventy-three million, one hundred seven thousand, eight hundred forty".