101515460340 has 192 divisors, whose sum is σ = 328907464704. Its totient is φ = 22915049472.

The previous prime is 101515460311. The next prime is 101515460381. The reversal of 101515460340 is 43064515101.

It is a happy number.

It is a super-2 number, since 2×101515460340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101515460298 and 101515460307.

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 63 ways as a sum of consecutive naturals, for example, 15141429 + ... + 15148131.

It is an arithmetic number, because the mean of its divisors is an integer number (1713059712).

Almost surely, 2^101515460340 is an apocalyptic number.

101515460340 is a gapful number since it is divisible by the number (10) 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 101515460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164453732352).

101515460340 is an abundant number, since it is smaller than the sum of its proper divisors (227392004364).

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

101515460340 is a wasteful number, since it uses less digits than its factorization.

101515460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 101515460340 its reverse (43064515101), we get a palindrome (144579975441).

The spelling of 101515460340 in words is "one hundred one billion, five hundred fifteen million, four hundred sixty thousand, three hundred forty".