101053829636464 has 60 divisors (see below), whose sum is σ = 208095180457824. Its totient is φ = 47529880471552.

The previous prime is 101053829636437. The next prime is 101053829636477. The reversal of 101053829636464 is 464636928350101.

It is a junction number, because it is equal to n+sod(n) for n = 101053829636399 and 101053829636408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3133689 + ... + 14557735.

Almost surely, 2^{101053829636464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101053829636464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104047590228912).

101053829636464 is an abundant number, since it is smaller than the sum of its proper divisors (107041350821360).

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

101053829636464 is a wasteful number, since it uses less digits than its factorization.

101053829636464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11426002 (or 11425979 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 101053829636464 in words is "one hundred one trillion, fifty-three billion, eight hundred twenty-nine million, six hundred thirty-six thousand, four hundred sixty-four".