103566256431 has 16 divisors (see below), whose sum is σ = 150663692928. Its totient is φ = 62758317600.

The previous prime is 103566256403. The next prime is 103566256459. The reversal of 103566256431 is 134652665301.

It is an interprime number because it is at equal distance from previous prime (103566256403) and next prime (103566256459).

It is not a de Polignac number, because 103566256431 - 2¹¹ = 103566254383 is a prime.

It is a super-3 number, since 3×103566256431³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103566256471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6636 + ... + 455166.

It is an arithmetic number, because the mean of its divisors is an integer number (9416480808).

Almost surely, 2^103566256431 is an apocalyptic number.

103566256431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103566256431 is a deficient number, since it is larger than the sum of its proper divisors (47097436497).

103566256431 is a wasteful number, since it uses less digits than its factorization.

103566256431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455542.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 103566256431 in words is "one hundred three billion, five hundred sixty-six million, two hundred fifty-six thousand, four hundred thirty-one".