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106258328 = 23112313541
BaseRepresentation
bin1100101010101…
…01111110011000
321101221111000122
412111111332120
5204200231303
614313252412
72430116021
oct625257630
9241844018
10106258328
1154a86500
122b704108
1319025267
141017dc48
1594dde38
hex6555f98

106258328 has 48 divisors (see below), whose sum is σ = 226121280. Its totient is φ = 46728000.

The previous prime is 106258319. The next prime is 106258357. The reversal of 106258328 is 823852601.

It is a super-2 number, since 2×1062583282 = 22581664538711168, 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 11 ways as a sum of consecutive naturals, for example, 28238 + ... + 31778.

It is an arithmetic number, because the mean of its divisors is an integer number (4710860).

Almost surely, 2106258328 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 106258328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113060640).

106258328 is an abundant number, since it is smaller than the sum of its proper divisors (119862952).

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

106258328 is a wasteful number, since it uses less digits than its factorization.

106258328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 106258328 is about 10308.1680234657. The cubic root of 106258328 is about 473.6464929361.

The spelling of 106258328 in words is "one hundred six million, two hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 2728 3541 3751 7082 7502 14164 15004 28328 30008 38951 77902 109771 155804 219542 311608 428461 439084 856922 878168 1207481 1713844 2414962 3427688 4829924 9659848 13282291 26564582 53129164 106258328