101075207719640 has 512 divisors, whose sum is σ = 299743106826240. Its totient is φ = 29741528678400.

The previous prime is 101075207719609. The next prime is 101075207719691. The reversal of 101075207719640 is 46917702570101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1736330135 + ... + 1736388345.

It is an arithmetic number, because the mean of its divisors is an integer number (585435755520).

Almost surely, 2^{101075207719640} is an apocalyptic number.

101075207719640 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 101075207719640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149871553413120).

101075207719640 is an abundant number, since it is smaller than the sum of its proper divisors (198667899106600).

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

101075207719640 is a wasteful number, since it uses less digits than its factorization.

101075207719640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58583 (or 58579 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 50.

The spelling of 101075207719640 in words is "one hundred one trillion, seventy-five billion, two hundred seven million, seven hundred nineteen thousand, six hundred forty".