103407541344000 has 432 divisors, whose sum is σ = 391674225240480. Its totient is φ = 26124009062400.

The previous prime is 103407541343947. The next prime is 103407541344073. The reversal of 103407541344000 is 443145704301.

103407541344000 is a `hidden beast` number, since 1 + 0 + 3 + 40 + 7 + 541 + 34 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×103407541344000² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3976789 + ... + 14920788.

Almost surely, 2^{103407541344000} is an apocalyptic number.

103407541344000 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 103407541344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195837112620240).

103407541344000 is an abundant number, since it is smaller than the sum of its proper divisors (288266683896480).

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

103407541344000 is a wasteful number, since it uses less digits than its factorization.

103407541344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18897633 (or 18897606 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 103407541344000 in words is "one hundred three trillion, four hundred seven billion, five hundred forty-one million, three hundred forty-four thousand".