101641855536 has 160 divisors (see below), whose sum is σ = 330728832000. Its totient is φ = 29628364032.

The previous prime is 101641855531. The next prime is 101641855541. The reversal of 101641855536 is 635558146101.

It is a happy number.

101641855536 is a `hidden beast` number, since 1 + 0 + 1 + 64 + 1 + 8 + 55 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (101641855531) and next prime (101641855541).

It is a junction number, because it is equal to n+sod(n) for n = 101641855491 and 101641855500.

It is not an unprimeable number, because it can be changed into a prime (101641855531) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 369576 + ... + 582983.

It is an arithmetic number, because the mean of its divisors is an integer number (2067055200).

Almost surely, 2^101641855536 is an apocalyptic number.

101641855536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101641855536 is an abundant number, since it is smaller than the sum of its proper divisors (229086976464).

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

101641855536 is a wasteful number, since it uses less digits than its factorization.

101641855536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952608 (or 952596 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

It can be divided in two parts, 10164185 and 5536, that added together give a square (10169721 = 3189²).

The spelling of 101641855536 in words is "one hundred one billion, six hundred forty-one million, eight hundred fifty-five thousand, five hundred thirty-six".