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101055045 = 35713101733
BaseRepresentation
bin1100000010111…
…11101001000101
321001011010110110
412001133221011
5201332230140
614005543233
72334645060
oct601375105
9231133413
10101055045
1152052173
1229a14b19
1317c22ab0
14d5c78d7
158d12380
hex605fa45

101055045 has 64 divisors (see below), whose sum is σ = 201245184. Its totient is φ = 42163200.

The previous prime is 101055011. The next prime is 101055049. The reversal of 101055045 is 540550101.

It is not a de Polignac number, because 101055045 - 26 = 101054981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101055049) 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 63 ways as a sum of consecutive naturals, for example, 137499 + ... + 138231.

It is an arithmetic number, because the mean of its divisors is an integer number (3144456).

Almost surely, 2101055045 is an apocalyptic number.

101055045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101055045 is a deficient number, since it is larger than the sum of its proper divisors (100190139).

101055045 is a wasteful number, since it uses less digits than its factorization.

101055045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 101055045 is about 10052.6138391963. The cubic root of 101055045 is about 465.7855377550.

The spelling of 101055045 in words is "one hundred one million, fifty-five thousand, forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 101 105 195 273 303 455 505 707 733 1313 1365 1515 2121 2199 3535 3665 3939 5131 6565 9191 9529 10605 10995 15393 19695 25655 27573 28587 45955 47645 66703 74033 76965 137865 142935 200109 222099 333515 370165 518231 962429 1000545 1110495 1554693 2591155 2887287 4812145 6737003 7773465 14436435 20211009 33685015 101055045