Search a number
-
+
105740547 = 3113204259
BaseRepresentation
bin1100100110101…
…11100100000011
321100222011202120
412103113210003
5204032144142
614254215323
72422531323
oct623274403
9240864676
10105740547
1154762490
122b4b4543
1318ba3693
1410087283
15943a7ec
hex64d7903

105740547 has 8 divisors (see below), whose sum is σ = 153804480. Its totient is φ = 64085160.

The previous prime is 105740543. The next prime is 105740587. The reversal of 105740547 is 745047501.

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

It is not a de Polignac number, because 105740547 - 22 = 105740543 is a prime.

It is a super-2 number, since 2×1057405472 = 22362126559718418, 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: 3204259 = 105740547 / (1 + 0 + 5 + 7 + 4 + 0 + 5 + 4 + 7).

It is not an unprimeable number, because it can be changed into a prime (105740543) 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 7 ways as a sum of consecutive naturals, for example, 1602097 + ... + 1602162.

It is an arithmetic number, because the mean of its divisors is an integer number (19225560).

Almost surely, 2105740547 is an apocalyptic number.

105740547 is a deficient number, since it is larger than the sum of its proper divisors (48063933).

105740547 is a wasteful number, since it uses less digits than its factorization.

105740547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204273.

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 105740547 is about 10283.0222697415. The cubic root of 105740547 is about 472.8759036594.

The spelling of 105740547 in words is "one hundred five million, seven hundred forty thousand, five hundred forty-seven".

Divisors: 1 3 11 33 3204259 9612777 35246849 105740547