10103392725720 has 768 divisors, whose sum is σ = 39337726464000. Its totient is φ = 2057012084736.

The previous prime is 10103392725697. The next prime is 10103392725761. The reversal of 10103392725720 is 2752729330101.

It is a happy number.

It is a super-2 number, since 2×10103392725720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2448118297 + ... + 2448122423.

It is an arithmetic number, because the mean of its divisors is an integer number (51220998000).

Almost surely, 2^{10103392725720} is an apocalyptic number.

10103392725720 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 10103392725720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668863232000).

10103392725720 is an abundant number, since it is smaller than the sum of its proper divisors (29234333738280).

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

10103392725720 is a wasteful number, since it uses less digits than its factorization.

10103392725720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 10103392725720 in words is "ten trillion, one hundred three billion, three hundred ninety-two million, seven hundred twenty-five thousand, seven hundred twenty".