103121410140 has 144 divisors (see below), whose sum is σ = 357612615360. Its totient is φ = 23562362880.

The previous prime is 103121410121. The next prime is 103121410169. The reversal of 103121410140 is 41014121301.

103121410140 is a `hidden beast` number, since 103 + 12 + 1 + 410 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045756 + ... + 4071164.

It is an arithmetic number, because the mean of its divisors is an integer number (2483420940).

Almost surely, 2^103121410140 is an apocalyptic number.

103121410140 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 103121410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178806307680).

103121410140 is an abundant number, since it is smaller than the sum of its proper divisors (254491205220).

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

103121410140 is a wasteful number, since it uses less digits than its factorization.

103121410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28652 (or 28647 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103121410140 its reverse (41014121301), we get a palindrome (144135531441).

The spelling of 103121410140 in words is "one hundred three billion, one hundred twenty-one million, four hundred ten thousand, one hundred forty".