103715077033920 has 448 divisors, whose sum is σ = 359746042991616. Its totient is φ = 25107055902720.

The previous prime is 103715077033903. The next prime is 103715077034017. The reversal of 103715077033920 is 29330770517301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103715077033920.

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, 39998100144 + ... + 39998102736.

Almost surely, 2^{103715077033920} is an apocalyptic number.

103715077033920 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 103715077033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179873021495808).

103715077033920 is an abundant number, since it is smaller than the sum of its proper divisors (256030965957696).

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

103715077033920 is a wasteful number, since it uses less digits than its factorization.

103715077033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 833490, while the sum is 48.

The spelling of 103715077033920 in words is "one hundred three trillion, seven hundred fifteen billion, seventy-seven million, thirty-three thousand, nine hundred twenty".