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106335042 = 23112149983
BaseRepresentation
bin1100101011010…
…00101101000010
321102002101020220
412111220231002
5204210210132
614315043510
72430555462
oct625505502
9242071226
10106335042
1155029100
122b740596
1319051158
141019dba2
159506a2c
hex6568b42

106335042 has 48 divisors (see below), whose sum is σ = 235569600. Its totient is φ = 31973920.

The previous prime is 106335029. The next prime is 106335043. The reversal of 106335042 is 240533601.

It is a happy number.

It is a super-2 number, since 2×1063350422 = 22614282314283528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106335043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107683 + ... + 108665.

It is an arithmetic number, because the mean of its divisors is an integer number (4907700).

Almost surely, 2106335042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106335042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117784800).

106335042 is an abundant number, since it is smaller than the sum of its proper divisors (129234558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106335042 is a wasteful number, since it uses less digits than its factorization.

106335042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 106335042 is about 10311.8883818629. Note that the first 3 decimals coincide. The cubic root of 106335042 is about 473.7604497339.

Adding to 106335042 its reverse (240533601), we get a palindrome (346868643).

The spelling of 106335042 in words is "one hundred six million, three hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 149 242 298 363 447 726 894 983 1639 1966 2949 3278 4917 5898 9834 10813 18029 21626 32439 36058 54087 64878 108174 118943 146467 237886 292934 356829 439401 713658 878802 1611137 3222274 4833411 9666822 17722507 35445014 53167521 106335042