103121040 has 240 divisors, whose sum is σ = 363351744. Its totient is φ = 24161280.

The previous prime is 103121033. The next prime is 103121047. The reversal of 103121040 is 40121301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103121033) and next prime (103121047).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539087 + ... + 1539153.

Almost surely, 2^103121040 is an apocalyptic number.

103121040 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 103121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675872).

103121040 is an abundant number, since it is smaller than the sum of its proper divisors (260230704).

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

103121040 is a wasteful number, since it uses less digits than its factorization.

103121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103121040 is about 10154.8530270014. The cubic root of 103121040 is about 468.9383612770.

Adding to 103121040 its reverse (40121301), we get a palindrome (143242341).

The spelling of 103121040 in words is "one hundred three million, one hundred twenty-one thousand, forty".