103531991040 has 1248 divisors, whose sum is σ = 419525982720. Its totient is φ = 23441965056.

The previous prime is 103531991027. The next prime is 103531991041. The reversal of 103531991040 is 40199135301.

103531991040 is a `hidden beast` number, since 10 + 3 + 531 + 9 + 9 + 104 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103531990986 and 103531991004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103531991041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2202808297 + ... + 2202808343.

It is an arithmetic number, because the mean of its divisors is an integer number (336158640).

Almost surely, 2^103531991040 is an apocalyptic number.

103531991040 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 103531991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209762991360).

103531991040 is an abundant number, since it is smaller than the sum of its proper divisors (315993991680).

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

103531991040 is a wasteful number, since it uses less digits than its factorization.

103531991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 103531991040 in words is "one hundred three billion, five hundred thirty-one million, nine hundred ninety-one thousand, forty".