103157793767424 has 180 divisors, whose sum is σ = 302359639918112. Its totient is φ = 31259935703040.

The previous prime is 103157793767419. The next prime is 103157793767429. The reversal of 103157793767424 is 424767397751301.

It is an interprime number because it is at equal distance from previous prime (103157793767419) and next prime (103157793767429).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103157793767429) 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 11 ways as a sum of consecutive naturals, for example, 2725132 + ... + 14619915.

Almost surely, 2^{103157793767424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103157793767424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151179819959056).

103157793767424 is an abundant number, since it is smaller than the sum of its proper divisors (199201846150688).

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

103157793767424 is an equidigital number, since it uses as much as digits as its factorization.

103157793767424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17345100 (or 17345063 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 66.

The spelling of 103157793767424 in words is "one hundred three trillion, one hundred fifty-seven billion, seven hundred ninety-three million, seven hundred sixty-seven thousand, four hundred twenty-four".