101806826464 has 72 divisors (see below), whose sum is σ = 235559832480. Its totient is φ = 43181623296.

The previous prime is 101806826461. The next prime is 101806826497. The reversal of 101806826464 is 464628608101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101806826461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182584 + ... + 486775.

It is an arithmetic number, because the mean of its divisors is an integer number (3271664340).

Almost surely, 2^101806826464 is an apocalyptic number.

101806826464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101806826464 is an abundant number, since it is smaller than the sum of its proper divisors (133753006016).

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

101806826464 is an equidigital number, since it uses as much as digits as its factorization.

101806826464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669480 (or 669465 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 101806826464 in words is "one hundred one billion, eight hundred six million, eight hundred twenty-six thousand, four hundred sixty-four".