100883431 has 16 divisors (see below), whose sum is σ = 114429600. Its totient is φ = 88099200.

The previous prime is 100883351. The next prime is 100883437. The reversal of 100883431 is 134388001.

It is a cyclic number.

It is not a de Polignac number, because 100883431 - 2⁷ = 100883303 is a prime.

It is a super-4 number, since 4×100883431⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100883431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100883437) 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, 72361 + ... + 73741.

It is an arithmetic number, because the mean of its divisors is an integer number (7151850).

Almost surely, 2^100883431 is an apocalyptic number.

100883431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100883431 is a deficient number, since it is larger than the sum of its proper divisors (13546169).

100883431 is a wasteful number, since it uses less digits than its factorization.

100883431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 100883431 is about 10044.0744222651. The cubic root of 100883431 is about 465.5217191225.

The spelling of 100883431 in words is "one hundred million, eight hundred eighty-three thousand, four hundred thirty-one".