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106536078 = 232111928319
BaseRepresentation
bin1100101100110…
…01110010001110
321102110121000200
412112121302032
5204233123303
614323234330
72432353545
oct626316216
9242417020
10106536078
1155156150
122b8189a6
13190c17cc
141021315c
1595463a3
hex6599c8e

106536078 has 48 divisors (see below), whose sum is σ = 265075200. Its totient is φ = 30583440.

The previous prime is 106536049. The next prime is 106536107. The reversal of 106536078 is 870635601.

It is an interprime number because it is at equal distance from previous prime (106536049) and next prime (106536107).

It is a super-2 number, since 2×1065360782 = 22699871831244168, 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 23 ways as a sum of consecutive naturals, for example, 10398 + ... + 17921.

It is an arithmetic number, because the mean of its divisors is an integer number (5522400).

Almost surely, 2106536078 is an apocalyptic number.

106536078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106536078 is an abundant number, since it is smaller than the sum of its proper divisors (158539122).

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

106536078 is a wasteful number, since it uses less digits than its factorization.

106536078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28357 (or 28354 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106536078 is about 10321.6315570747. The cubic root of 106536078 is about 474.0588240834.

The spelling of 106536078 in words is "one hundred six million, five hundred thirty-six thousand, seventy-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 28319 56638 84957 169914 254871 311509 509742 538061 623018 934527 1076122 1614183 1869054 2803581 3228366 4842549 5607162 5918671 9685098 11837342 17756013 35512026 53268039 106536078