103507192405440 has 448 divisors, whose sum is σ = 386246071296000. Its totient is φ = 26040161968128.

The previous prime is 103507192405439. The next prime is 103507192405453. The reversal of 103507192405440 is 44504291705301.

103507192405440 is a `hidden beast` number, since 1 + 0 + 3 + 50 + 7 + 19 + 2 + 40 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10938961 + ... + 18074159.

Almost surely, 2^{103507192405440} is an apocalyptic number.

103507192405440 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 103507192405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193123035648000).

103507192405440 is an abundant number, since it is smaller than the sum of its proper divisors (282738878890560).

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

103507192405440 is a wasteful number, since it uses less digits than its factorization.

103507192405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135321 (or 7135305 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 103507192405440 in words is "one hundred three trillion, five hundred seven billion, one hundred ninety-two million, four hundred five thousand, four hundred forty".