103268015424 has 224 divisors, whose sum is σ = 358152192000. Its totient is φ = 28553264640.

The previous prime is 103268015419. The next prime is 103268015429. The reversal of 103268015424 is 424510862301.

It is a happy number.

103268015424 is a `hidden beast` number, since 1 + 0 + 32 + 6 + 80 + 1 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103268015419) and next prime (103268015429).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×103268015424² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103268015429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237277 + ... + 512675.

Almost surely, 2^103268015424 is an apocalyptic number.

103268015424 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 103268015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179076096000).

103268015424 is an abundant number, since it is smaller than the sum of its proper divisors (254884176576).

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

103268015424 is a wasteful number, since it uses less digits than its factorization.

103268015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275458 (or 275442 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 103268015424 its reverse (424510862301), we get a palindrome (527778877725).

The spelling of 103268015424 in words is "one hundred three billion, two hundred sixty-eight million, fifteen thousand, four hundred twenty-four".