103990487040 has 768 divisors, whose sum is σ = 416644300800. Its totient is φ = 24374476800.

The previous prime is 103990487023. The next prime is 103990487047. The reversal of 103990487040 is 40784099301.

103990487040 is a `hidden beast` number, since 10 + 39 + 90 + 487 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103990487047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94279129 + ... + 94280231.

It is an arithmetic number, because the mean of its divisors is an integer number (542505600).

Almost surely, 2^103990487040 is an apocalyptic number.

103990487040 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 103990487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208322150400).

103990487040 is an abundant number, since it is smaller than the sum of its proper divisors (312653813760).

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

103990487040 is a wasteful number, since it uses less digits than its factorization.

103990487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 103990487040 in words is "one hundred three billion, nine hundred ninety million, four hundred eighty-seven thousand, forty".