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106259808 = 25310091097
BaseRepresentation
bin1100101010101…
…10010101100000
321101221120001110
412111112111200
5204200303213
614313303320
72430123234
oct625262540
9241846043
10106259808
1154a87626
122b704b40
1319025b35
14101805c4
1594de5c3
hex6556560

106259808 has 48 divisors (see below), whose sum is σ = 279462960. Its totient is φ = 35352576.

The previous prime is 106259773. The next prime is 106259833. The reversal of 106259808 is 808952601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1062598082 = 22582293592393728, 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, 96316 + ... + 97412.

It is an arithmetic number, because the mean of its divisors is an integer number (5822145).

Almost surely, 2106259808 is an apocalyptic number.

It is an amenable number.

106259808 is an abundant number, since it is smaller than the sum of its proper divisors (173203152).

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

106259808 is a wasteful number, since it uses less digits than its factorization.

106259808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 106259808 is about 10308.2398109474. The cubic root of 106259808 is about 473.6486919592.

The spelling of 106259808 in words is "one hundred six million, two hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1009 1097 2018 2194 3027 3291 4036 4388 6054 6582 8072 8776 12108 13164 16144 17552 24216 26328 32288 35104 48432 52656 96864 105312 1106873 2213746 3320619 4427492 6641238 8854984 13282476 17709968 26564952 35419936 53129904 106259808