101403643264 has 512 divisors, whose sum is σ = 286486502400. Its totient is φ = 34504704000.

The previous prime is 101403643261. The next prime is 101403643267. The reversal of 101403643264 is 462346304101.

It is an interprime number because it is at equal distance from previous prime (101403643261) and next prime (101403643267).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101403643261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168724564 + ... + 168725164.

It is an arithmetic number, because the mean of its divisors is an integer number (559543950).

Almost surely, 2^101403643264 is an apocalyptic number.

101403643264 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 101403643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143243251200).

101403643264 is an abundant number, since it is smaller than the sum of its proper divisors (185082859136).

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

101403643264 is a wasteful number, since it uses less digits than its factorization.

101403643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 101403643264 its reverse (462346304101), we get a palindrome (563749947365).

The spelling of 101403643264 in words is "one hundred one billion, four hundred three million, six hundred forty-three thousand, two hundred sixty-four".