101005537468 has 72 divisors (see below), whose sum is σ = 206107714512. Its totient is φ = 43129152000.

The previous prime is 101005537459. The next prime is 101005537469. The reversal of 101005537468 is 864735500101.

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 101005537468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005537469) 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 23 ways as a sum of consecutive naturals, for example, 4440003 + ... + 4462693.

It is an arithmetic number, because the mean of its divisors is an integer number (2862607146).

Almost surely, 2^101005537468 is an apocalyptic number.

It is an amenable number.

101005537468 is an abundant number, since it is smaller than the sum of its proper divisors (105102177044).

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

101005537468 is a wasteful number, since it uses less digits than its factorization.

101005537468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23275 (or 23262 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 101005537468 in words is "one hundred one billion, five million, five hundred thirty-seven thousand, four hundred sixty-eight".