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106500056 = 231310110139
BaseRepresentation
bin1100101100100…
…00111111011000
321102101202121112
412112100333120
5204231000211
614322355452
72432143535
oct626207730
9242352545
10106500056
1155131083
122b7bbb88
13190ab2b0
1410203d8c
15953a88b
hex6590fd8

106500056 has 32 divisors (see below), whose sum is σ = 217198800. Its totient is φ = 48662400.

The previous prime is 106500047. The next prime is 106500067. The reversal of 106500056 is 650005601.

It is a super-2 number, since 2×1065000562 = 22684523856006272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5435 + ... + 15573.

Almost surely, 2106500056 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 106500056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108599400).

106500056 is an abundant number, since it is smaller than the sum of its proper divisors (110698744).

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

106500056 is a wasteful number, since it uses less digits than its factorization.

106500056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10259 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 106500056 is about 10319.8864334837. The cubic root of 106500056 is about 474.0053884389.

Adding to 106500056 its reverse (650005601), we get a palindrome (756505657).

The spelling of 106500056 in words is "one hundred six million, five hundred thousand, fifty-six".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 5252 10139 10504 20278 40556 81112 131807 263614 527228 1024039 1054456 2048078 4096156 8192312 13312507 26625014 53250028 106500056