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105064377 = 3113183769
BaseRepresentation
bin1100100001100…
…10011110111001
321022200211020020
412100302132321
5203344030002
614231521053
72414014065
oct620623671
9238624206
10105064377
1154340470
122b229189
13189c7992
14dd4caa5
1593552bc
hex64327b9

105064377 has 8 divisors (see below), whose sum is σ = 152820960. Its totient is φ = 63675360.

The previous prime is 105064373. The next prime is 105064381. The reversal of 105064377 is 773460501.

It is an interprime number because it is at equal distance from previous prime (105064373) and next prime (105064381).

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

It is not a de Polignac number, because 105064377 - 22 = 105064373 is a prime.

It is a super-2 number, since 2×1050643772 = 22077046628796258, 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: 3183769 = 105064377 / (1 + 0 + 5 + 0 + 6 + 4 + 3 + 7 + 7).

It is not an unprimeable number, because it can be changed into a prime (105064373) 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, 1591852 + ... + 1591917.

It is an arithmetic number, because the mean of its divisors is an integer number (19102620).

Almost surely, 2105064377 is an apocalyptic number.

It is an amenable number.

105064377 is a deficient number, since it is larger than the sum of its proper divisors (47756583).

105064377 is a wasteful number, since it uses less digits than its factorization.

105064377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183783.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 105064377 is about 10250.0915605667. The cubic root of 105064377 is about 471.8657945195.

The spelling of 105064377 in words is "one hundred five million, sixty-four thousand, three hundred seventy-seven".

Divisors: 1 3 11 33 3183769 9551307 35021459 105064377