103509928783872 has 624 divisors, whose sum is σ = 333632177817120. Its totient is φ = 30718203789312.

The previous prime is 103509928783867. The next prime is 103509928783897. The reversal of 103509928783872 is 278387829905301.

103509928783872 is a `hidden beast` number, since 1 + 0 + 3 + 509 + 9 + 2 + 87 + 8 + 38 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 103509928783872.

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, 1498523928 + ... + 1498593000.

It is an arithmetic number, because the mean of its divisors is an integer number (534666951630).

Almost surely, 2^{103509928783872} is an apocalyptic number.

103509928783872 is a gapful number since it is divisible by the number (12) 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 103509928783872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166816088908560).

103509928783872 is an abundant number, since it is smaller than the sum of its proper divisors (230122249033248).

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

103509928783872 is a wasteful number, since it uses less digits than its factorization.

103509928783872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69228 (or 69203 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 103509928783872 in words is "one hundred three trillion, five hundred nine billion, nine hundred twenty-eight million, seven hundred eighty-three thousand, eight hundred seventy-two".