101503100664 has 288 divisors, whose sum is σ = 334584263520. Its totient is φ = 27225870336.

The previous prime is 101503100627. The next prime is 101503100669. The reversal of 101503100664 is 466001305101.

It is a super-2 number, since 2×101503100664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101503100669) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 20557204 + ... + 20562140.

It is an arithmetic number, because the mean of its divisors is an integer number (1161750915).

Almost surely, 2^101503100664 is an apocalyptic number.

101503100664 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 101503100664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167292131760).

101503100664 is an abundant number, since it is smaller than the sum of its proper divisors (233081162856).

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

101503100664 is a wasteful number, since it uses less digits than its factorization.

101503100664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 101503100664 its reverse (466001305101), we get a palindrome (567504405765).

The spelling of 101503100664 in words is "one hundred one billion, five hundred three million, one hundred thousand, six hundred sixty-four".