103138629360 has 320 divisors, whose sum is σ = 356310528000. Its totient is φ = 24508293120.

The previous prime is 103138629343. The next prime is 103138629367. The reversal of 103138629360 is 63926831301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103138629367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48262212 + ... + 48264348.

It is an arithmetic number, because the mean of its divisors is an integer number (1113470400).

Almost surely, 2^103138629360 is an apocalyptic number.

103138629360 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 103138629360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178155264000).

103138629360 is an abundant number, since it is smaller than the sum of its proper divisors (253171898640).

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

103138629360 is a wasteful number, since it uses less digits than its factorization.

103138629360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 103138629360 in words is "one hundred three billion, one hundred thirty-eight million, six hundred twenty-nine thousand, three hundred sixty".