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108031 = 7112361
BaseRepresentation
bin11010010111111111
312111012011
4122113333
511424111
62152051
7626650
oct322777
9174164
10108031
1174190
1252627
133a231
142b527
1522021
hex1a5ff

108031 has 16 divisors (see below), whose sum is σ = 142848. Its totient is φ = 79200.

The previous prime is 108023. The next prime is 108037. The reversal of 108031 is 130801.

It is not a de Polignac number, because 108031 - 23 = 108023 is a prime.

It is a super-2 number, since 2×1080312 = 23341393922, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1741 + ... + 1801.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2108031 is an apocalyptic number.

108031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

108031 is a deficient number, since it is larger than the sum of its proper divisors (34817).

108031 is a wasteful number, since it uses less digits than its factorization.

108031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 108031 is about 328.6806961171. The cubic root of 108031 is about 47.6265875521.

Adding to 108031 its reverse (130801), we get a palindrome (238832).

It can be divided in two parts, 1080 and 31, that added together give a palindrome (1111).

The spelling of 108031 in words is "one hundred eight thousand, thirty-one".

Divisors: 1 7 11 23 61 77 161 253 427 671 1403 1771 4697 9821 15433 108031