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105103977 = 3113184969
BaseRepresentation
bin1100100001111…
…00001001101001
321022202211112220
412100330021221
5203401311402
614232424253
72414240406
oct620741151
9238684486
10105103977
11543681a0
122b248089
1318a0ca04
14dd5d2ad
159361dbc
hex643c269

105103977 has 8 divisors (see below), whose sum is σ = 152878560. Its totient is φ = 63699360.

The previous prime is 105103963. The next prime is 105103987. The reversal of 105103977 is 779301501.

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

It is not a de Polignac number, because 105103977 - 27 = 105103849 is a prime.

It is a super-2 number, since 2×1051039772 = 22093691962433058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3184969 = 105103977 / (1 + 0 + 5 + 1 + 0 + 3 + 9 + 7 + 7).

It is not an unprimeable number, because it can be changed into a prime (105103987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1592452 + ... + 1592517.

It is an arithmetic number, because the mean of its divisors is an integer number (19109820).

Almost surely, 2105103977 is an apocalyptic number.

It is an amenable number.

105103977 is a deficient number, since it is larger than the sum of its proper divisors (47774583).

105103977 is a wasteful number, since it uses less digits than its factorization.

105103977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184983.

The product of its (nonzero) digits is 6615, while the sum is 33.

The square root of 105103977 is about 10252.0230686436. The cubic root of 105103977 is about 471.9250709963.

The spelling of 105103977 in words is "one hundred five million, one hundred three thousand, nine hundred seventy-seven".

Divisors: 1 3 11 33 3184969 9554907 35034659 105103977