103662599040 has 1536 divisors, whose sum is σ = 496724659200. Its totient is φ = 19840204800.

The previous prime is 103662598987. The next prime is 103662599041. The reversal of 103662599040 is 40995266301.

103662599040 is a `hidden beast` number, since 10 + 3 + 6 + 6 + 2 + 599 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103662599041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224864410 + ... + 224864870.

It is an arithmetic number, because the mean of its divisors is an integer number (323388450).

Almost surely, 2^103662599040 is an apocalyptic number.

103662599040 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 103662599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248362329600).

103662599040 is an abundant number, since it is smaller than the sum of its proper divisors (393062060160).

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

103662599040 is a wasteful number, since it uses less digits than its factorization.

103662599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 103662599040 in words is "one hundred three billion, six hundred sixty-two million, five hundred ninety-nine thousand, forty".