101253455064 has 144 divisors (see below), whose sum is σ = 292627782720. Its totient is φ = 31621893120.

The previous prime is 101253455041. The next prime is 101253455117. The reversal of 101253455064 is 460554352101.

101253455064 is a `hidden beast` number, since 1 + 0 + 12 + 5 + 34 + 550 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4629274 + ... + 4651094.

It is an arithmetic number, because the mean of its divisors is an integer number (2032137380).

Almost surely, 2^101253455064 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 101253455064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313891360).

101253455064 is an abundant number, since it is smaller than the sum of its proper divisors (191374327656).

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

101253455064 is a wasteful number, since it uses less digits than its factorization.

101253455064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22090 (or 22066 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 101253455064 in words is "one hundred one billion, two hundred fifty-three million, four hundred fifty-five thousand, sixty-four".