103020435456 has 96 divisors (see below), whose sum is σ = 277222720320. Its totient is φ = 34018992128.

The previous prime is 103020435451. The next prime is 103020435493. The reversal of 103020435456 is 654534020301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103020435456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020435451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579055 + ... + 735761.

It is an arithmetic number, because the mean of its divisors is an integer number (2887736670).

Almost surely, 2^103020435456 is an apocalyptic number.

103020435456 is a gapful number since it is divisible by the number (16) 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 103020435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138611360160).

103020435456 is an abundant number, since it is smaller than the sum of its proper divisors (174202284864).

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

103020435456 is a wasteful number, since it uses less digits than its factorization.

103020435456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156839 (or 156819 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 103020435456 its reverse (654534020301), we get a palindrome (757554455757).

The spelling of 103020435456 in words is "one hundred three billion, twenty million, four hundred thirty-five thousand, four hundred fifty-six".