101575434656 has 48 divisors (see below), whose sum is σ = 212430024576. Its totient is φ = 47644425216.

The previous prime is 101575434647. The next prime is 101575434659. The reversal of 101575434656 is 656434575101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101575434656.

It is not an unprimeable number, because it can be changed into a prime (101575434659) 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 7 ways as a sum of consecutive naturals, for example, 137096 + ... + 471111.

It is an arithmetic number, because the mean of its divisors is an integer number (4425625512).

Almost surely, 2^101575434656 is an apocalyptic number.

101575434656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101575434656 is an abundant number, since it is smaller than the sum of its proper divisors (110854589920).

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

101575434656 is a wasteful number, since it uses less digits than its factorization.

101575434656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608541 (or 608533 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 101575434656 in words is "one hundred one billion, five hundred seventy-five million, four hundred thirty-four thousand, six hundred fifty-six".