10103240140400 has 180 divisors, whose sum is σ = 26687891214600. Its totient is φ = 3672857126400.

The previous prime is 10103240140393. The next prime is 10103240140453. The reversal of 10103240140400 is 404104230101.

It is a super-2 number, since 2×10103240140400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180939686 + ... + 180995514.

Almost surely, 2^{10103240140400} is an apocalyptic number.

10103240140400 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 10103240140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343945607300).

10103240140400 is an abundant number, since it is smaller than the sum of its proper divisors (16584651074200).

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

10103240140400 is a wasteful number, since it uses less digits than its factorization.

10103240140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59608 (or 59586 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10103240140400 its reverse (404104230101), we get a palindrome (10507344370501).

The spelling of 10103240140400 in words is "ten trillion, one hundred three billion, two hundred forty million, one hundred forty thousand, four hundred".