101615550240 has 48 divisors (see below), whose sum is σ = 320088984768. Its totient is φ = 27097479936.

The previous prime is 101615550229. The next prime is 101615550271. The reversal of 101615550240 is 42055516101.

101615550240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101615550198 and 101615550207.

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 7 ways as a sum of consecutive naturals, for example, 105849052 + ... + 105850011.

It is an arithmetic number, because the mean of its divisors is an integer number (6668520516).

Almost surely, 2^101615550240 is an apocalyptic number.

101615550240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101615550240 is an abundant number, since it is smaller than the sum of its proper divisors (218473434528).

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

101615550240 is a wasteful number, since it uses less digits than its factorization.

101615550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211699081 (or 211699073 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 101615550240 in words is "one hundred one billion, six hundred fifteen million, five hundred fifty thousand, two hundred forty".