101540577140 has 24 divisors (see below), whose sum is σ = 214340065800. Its totient is φ = 40405782528.

The previous prime is 101540577133. The next prime is 101540577143. The reversal of 101540577140 is 41775045101.

101540577140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2324396944 + 99216180196 = 48212^2 + 314986^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101540577140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101540577143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13149065 + ... + 13156784.

It is an arithmetic number, because the mean of its divisors is an integer number (8930836075).

Almost surely, 2^101540577140 is an apocalyptic number.

101540577140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101540577140 is an abundant number, since it is smaller than the sum of its proper divisors (112799488660).

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

101540577140 is a wasteful number, since it uses less digits than its factorization.

101540577140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26306051 (or 26306049 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The spelling of 101540577140 in words is "one hundred one billion, five hundred forty million, five hundred seventy-seven thousand, one hundred forty".