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105124404031 = 893473403957
BaseRepresentation
bin110000111100111100…
…1110001101100111111
3101001100022010001001121
41201321321301230333
53210243321412111
6120143220451411
710411036455643
oct1417171615477
9331308101047
10105124404031
1140645a92759
1218459b49b67
139bb437798a
145133866c23
152b04066871
hex1879e71b3f

105124404031 has 8 divisors (see below), whose sum is σ = 106611964560. Its totient is φ = 103643652288.

The previous prime is 105124404019. The next prime is 105124404043. The reversal of 105124404031 is 130404421501.

It is an interprime number because it is at equal distance from previous prime (105124404019) and next prime (105124404043).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105124404031 - 29 = 105124403519 is a prime.

It is a super-2 number, since 2×1051244040312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105124403987 and 105124404005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124404731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1671096 + ... + 1732861.

It is an arithmetic number, because the mean of its divisors is an integer number (13326495570).

Almost surely, 2105124404031 is an apocalyptic number.

105124404031 is a deficient number, since it is larger than the sum of its proper divisors (1487560529).

105124404031 is an equidigital number, since it uses as much as digits as its factorization.

105124404031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404393.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 105124404031 its reverse (130404421501), we get a palindrome (235528825532).

The spelling of 105124404031 in words is "one hundred five billion, one hundred twenty-four million, four hundred four thousand, thirty-one".

Divisors: 1 89 347 30883 3403957 302952173 1181173079 105124404031