103138071120 has 800 divisors, whose sum is σ = 437205517056. Its totient is φ = 21996748800.

The previous prime is 103138071083. The next prime is 103138071131. The reversal of 103138071120 is 21170831301.

It is a happy number.

103138071120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101016210 + ... + 101017230.

Almost surely, 2^103138071120 is an apocalyptic number.

103138071120 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 103138071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218602758528).

103138071120 is an abundant number, since it is smaller than the sum of its proper divisors (334067445936).

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

103138071120 is a wasteful number, since it uses less digits than its factorization.

103138071120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

It can be divided in two parts, 1031380 and 71120, that added together give a square (1102500 = 1050²).

The spelling of 103138071120 in words is "one hundred three billion, one hundred thirty-eight million, seventy-one thousand, one hundred twenty".