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106023024 = 24321634517
BaseRepresentation
bin1100101000111…
…00100001110000
321101111112020200
412110130201300
5204120214044
614304235200
72425116012
oct624344160
9241445220
10106023024
1154935738
122b60bb00
1318c72123
141011c1b2
159494369
hex651c870

106023024 has 60 divisors (see below), whose sum is σ = 298603656. Its totient is φ = 35116416.

The previous prime is 106022971. The next prime is 106023061. The reversal of 106023024 is 420320601.

It is a happy number.

106023024 is a `hidden beast` number, since 10 + 602 + 30 + 24 = 666.

It is a super-2 number, since 2×1060230242 = 22481763236209152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106022988 and 106023006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21214 + ... + 25730.

Almost surely, 2106023024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149301828).

106023024 is an abundant number, since it is smaller than the sum of its proper divisors (192580632).

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

106023024 is a wasteful number, since it uses less digits than its factorization.

106023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106023024 is about 10296.7482245610. The cubic root of 106023024 is about 473.2966120204.

Adding to 106023024 its reverse (420320601), we get a palindrome (526343625).

The spelling of 106023024 in words is "one hundred six million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1956 2608 2934 3912 4517 5868 7824 9034 11736 13551 18068 23472 27102 36136 40653 54204 72272 81306 108408 162612 216816 325224 650448 736271 1472542 2208813 2945084 4417626 5890168 6626439 8835252 11780336 13252878 17670504 26505756 35341008 53011512 106023024