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106753955 = 5711416763
BaseRepresentation
bin1100101110011…
…10111110100011
321102212122220012
412113032332203
5204312111310
614332035135
72434252010
oct627167643
9242778805
10106753955
1155294910
122b902aab
1319169a29
141026c707
15958ac05
hex65cefa3

106753955 has 32 divisors (see below), whose sum is σ = 163634688. Its totient is φ = 64915200.

The previous prime is 106753949. The next prime is 106753961. The reversal of 106753955 is 559357601.

It is an interprime number because it is at equal distance from previous prime (106753949) and next prime (106753961).

It is not a de Polignac number, because 106753955 - 24 = 106753939 is a prime.

It is a super-2 number, since 2×1067539552 = 22792813816284050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12404 + ... + 19166.

It is an arithmetic number, because the mean of its divisors is an integer number (5113584).

Almost surely, 2106753955 is an apocalyptic number.

106753955 is a deficient number, since it is larger than the sum of its proper divisors (56880733).

106753955 is a wasteful number, since it uses less digits than its factorization.

106753955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827.

The product of its (nonzero) digits is 141750, while the sum is 41.

The square root of 106753955 is about 10332.1805539779. The cubic root of 106753955 is about 474.3817700306.

The spelling of 106753955 in words is "one hundred six million, seven hundred fifty-three thousand, nine hundred fifty-five".

Divisors: 1 5 7 11 35 41 55 77 205 287 385 451 1435 2255 3157 6763 15785 33815 47341 74393 236705 277283 371965 520751 1386415 1940981 2603755 3050113 9704905 15250565 21350791 106753955