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106420893 = 3337105263
BaseRepresentation
bin1100101011111…
…01101010011101
321102020202000120
412111331222131
5204220432033
614320545153
72431363665
oct625755235
9242222016
10106420893
1155087657
122b7821b9
1319081257
14101c31a5
1595221b3
hex657da9d

106420893 has 8 divisors (see below), whose sum is σ = 142316928. Its totient is φ = 70736064.

The previous prime is 106420891. The next prime is 106420921. The reversal of 106420893 is 398024601.

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

It is not a de Polignac number, because 106420893 - 21 = 106420891 is a prime.

It is a super-2 number, since 2×1064208932 = 22650812933834898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106420891) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51621 + ... + 53642.

It is an arithmetic number, because the mean of its divisors is an integer number (17789616).

Almost surely, 2106420893 is an apocalyptic number.

It is an amenable number.

106420893 is a deficient number, since it is larger than the sum of its proper divisors (35896035).

106420893 is a wasteful number, since it uses less digits than its factorization.

106420893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105603.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 106420893 is about 10316.0502616069. The cubic root of 106420893 is about 473.8879143545.

The spelling of 106420893 in words is "one hundred six million, four hundred twenty thousand, eight hundred ninety-three".

Divisors: 1 3 337 1011 105263 315789 35473631 106420893