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106532604 = 22332414093
BaseRepresentation
bin1100101100110…
…00111011111100
321102110102021000
412112120323330
5204233020404
614323210300
72432340453
oct626307374
9242412230
10106532604
1155153582
122b816990
13190c0059
1410211b9a
159545339
hex6598efc

106532604 has 48 divisors (see below), whose sum is σ = 277409440. Its totient is φ = 35354880.

The previous prime is 106532603. The next prime is 106532609. The reversal of 106532604 is 406235601.

106532604 is a `hidden beast` number, since 1 + 0 + 6 + 53 + 2 + 604 = 666.

It is a super-2 number, since 2×1065326042 = 22698391430041632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106532603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23982 + ... + 28074.

Almost surely, 2106532604 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 106532604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138704720).

106532604 is an abundant number, since it is smaller than the sum of its proper divisors (170876836).

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

106532604 is a wasteful number, since it uses less digits than its factorization.

106532604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106532604 is about 10321.4632683549. The cubic root of 106532604 is about 474.0536712179.

The spelling of 106532604 in words is "one hundred six million, five hundred thirty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 482 723 964 1446 2169 2892 4093 4338 6507 8186 8676 12279 13014 16372 24558 26028 36837 49116 73674 110511 147348 221022 442044 986413 1972826 2959239 3945652 5918478 8877717 11836956 17755434 26633151 35510868 53266302 106532604