103435711120 has 160 divisors (see below), whose sum is σ = 288035136000. Its totient is φ = 34504856064.

The previous prime is 103435711069. The next prime is 103435711129. The reversal of 103435711120 is 21117534301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (103435711129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964341 + ... + 1066219.

It is an arithmetic number, because the mean of its divisors is an integer number (1800219600).

Almost surely, 2^103435711120 is an apocalyptic number.

103435711120 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 103435711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144017568000).

103435711120 is an abundant number, since it is smaller than the sum of its proper divisors (184599424880).

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

103435711120 is a wasteful number, since it uses less digits than its factorization.

103435711120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101950 (or 101930 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 103435711120 in words is "one hundred three billion, four hundred thirty-five million, seven hundred eleven thousand, one hundred twenty".