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105144429 = 3132696011
BaseRepresentation
bin1100100010001…
…10000001101101
321022211220001010
412101012001231
5203404110204
614233335433
72414466345
oct621060155
9238756033
10105144429
1154395625
122b267579
1318a25250
14dd6dd25
15936dd89
hex644606d

105144429 has 8 divisors (see below), whose sum is σ = 150976672. Its totient is φ = 64704240.

The previous prime is 105144427. The next prime is 105144433. The reversal of 105144429 is 924441501.

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

It is not a de Polignac number, because 105144429 - 21 = 105144427 is a prime.

It is a super-2 number, since 2×1051444292 = 22110701899472082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105144396 and 105144405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105144427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347967 + ... + 1348044.

It is an arithmetic number, because the mean of its divisors is an integer number (18872084).

Almost surely, 2105144429 is an apocalyptic number.

It is an amenable number.

105144429 is a deficient number, since it is larger than the sum of its proper divisors (45832243).

105144429 is a wasteful number, since it uses less digits than its factorization.

105144429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696027.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 105144429 is about 10253.9957577522. The cubic root of 105144429 is about 471.9856074444.

The spelling of 105144429 in words is "one hundred five million, one hundred forty-four thousand, four hundred twenty-nine".

Divisors: 1 3 13 39 2696011 8088033 35048143 105144429