103991580 has 384 divisors, whose sum is σ = 419973120. Its totient is φ = 20736000.

The previous prime is 103991557. The next prime is 103991597. The reversal of 103991580 is 85199301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1704750 + ... + 1704810.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^103991580 is an apocalyptic number.

103991580 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 103991580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

103991580 is an abundant number, since it is smaller than the sum of its proper divisors (315981540).

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

103991580 is a wasteful number, since it uses less digits than its factorization.

103991580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 103991580 is about 10197.6261943650. The cubic root of 103991580 is about 470.2542460234.

The spelling of 103991580 in words is "one hundred three million, nine hundred ninety-one thousand, five hundred eighty".