101263023064 has 64 divisors (see below), whose sum is σ = 220055745600. Its totient is φ = 42788511744.

The previous prime is 101263023007. The next prime is 101263023119. The reversal of 101263023064 is 460320362101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730574 + ... + 1788130.

It is an arithmetic number, because the mean of its divisors is an integer number (3438371025).

Almost surely, 2^101263023064 is an apocalyptic number.

101263023064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101263023064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110027872800).

101263023064 is an abundant number, since it is smaller than the sum of its proper divisors (118792722536).

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

101263023064 is a wasteful number, since it uses less digits than its factorization.

101263023064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58012 (or 58008 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 101263023064 its reverse (460320362101), we get a palindrome (561583385165).

The spelling of 101263023064 in words is "one hundred one billion, two hundred sixty-three million, twenty-three thousand, sixty-four".