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106255104 = 283314463
BaseRepresentation
bin1100101010101…
…01001100000000
321101221022121020
412111111030000
5204200130404
614313225440
72430103434
oct625251400
9241838536
10106255104
1154a8403a
122b702280
1319023957
141017c9c4
1594dced9
hex6555300

106255104 has 72 divisors (see below), whose sum is σ = 291981312. Its totient is φ = 34268160.

The previous prime is 106255103. The next prime is 106255111. The reversal of 106255104 is 401552601.

It is a super-2 number, since 2×1062551042 = 22580294252101632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (106255103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21577 + ... + 26039.

It is an arithmetic number, because the mean of its divisors is an integer number (4055296).

Almost surely, 2106255104 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 106255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656).

106255104 is an abundant number, since it is smaller than the sum of its proper divisors (185726208).

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

106255104 is an equidigital number, since it uses as much as digits as its factorization.

106255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 106255104 is about 10308.0116414370. The cubic root of 106255104 is about 473.6417025611.

The spelling of 106255104 in words is "one hundred six million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 4463 5952 7936 8926 11904 13389 17852 23808 26778 35704 53556 71408 107112 138353 142816 214224 276706 285632 415059 428448 553412 571264 830118 856896 1106824 1142528 1660236 1713792 2213648 3320472 3427584 4427296 6640944 8854592 13281888 17709184 26563776 35418368 53127552 106255104