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106645152 = 2531110887
BaseRepresentation
bin1100101101101…
…00011010100000
321102200010122110
412112310122200
5204300121102
614325435320
72433316545
oct626643240
9242603573
10106645152
1155220099
122b86bb40
131912c353
1410240bcc
15956886c
hex65b46a0

106645152 has 24 divisors (see below), whose sum is σ = 279943776. Its totient is φ = 35548352.

The previous prime is 106645139. The next prime is 106645159. The reversal of 106645152 is 251546601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1066451522 = 22746376890206208, which contains 22 as substring.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (106645159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555348 + ... + 555539.

It is an arithmetic number, because the mean of its divisors is an integer number (11664324).

Almost surely, 2106645152 is an apocalyptic number.

106645152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106645152 is an abundant number, since it is smaller than the sum of its proper divisors (173298624).

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

106645152 is a wasteful number, since it uses less digits than its factorization.

106645152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110900 (or 1110892 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 106645152 is about 10326.9139630385. The cubic root of 106645152 is about 474.2205528822.

The spelling of 106645152 in words is "one hundred six million, six hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1110887 2221774 3332661 4443548 6665322 8887096 13330644 17774192 26661288 35548384 53322576 106645152