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106504002 = 23211537899
BaseRepresentation
bin1100101100100…
…01111101000010
321102101222000200
412112101331002
5204231112002
614322430030
72432161203
oct626217502
9242358020
10106504002
1155134040
122b802316
13190b0027
14102055aa
15953bb1c
hex6591f42

106504002 has 24 divisors (see below), whose sum is σ = 251737200. Its totient is φ = 32273880.

The previous prime is 106504001. The next prime is 106504033. The reversal of 106504002 is 200405601.

It is a happy number.

106504002 is a `hidden beast` number, since 10 + 650 + 4 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×1065040022 = 22686204884032008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106504001) 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 11 ways as a sum of consecutive naturals, for example, 268752 + ... + 269147.

It is an arithmetic number, because the mean of its divisors is an integer number (10489050).

Almost surely, 2106504002 is an apocalyptic number.

106504002 is an abundant number, since it is smaller than the sum of its proper divisors (145233198).

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

106504002 is a wasteful number, since it uses less digits than its factorization.

106504002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537918 (or 537915 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106504002 is about 10320.0776159872. The cubic root of 106504002 is about 474.0112425897.

Adding to 106504002 its reverse (200405601), we get a palindrome (306909603).

The spelling of 106504002 in words is "one hundred six million, five hundred four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 537899 1075798 1613697 3227394 4841091 5916889 9682182 11833778 17750667 35501334 53252001 106504002