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106525971 = 3219975927
BaseRepresentation
bin1100101100101…
…11010100010011
321102110002011100
412112113110103
5204232312341
614323115443
72432312226
oct626272423
9242402140
10106525971
11551495a2
122b812b83
13190ba026
141020d5bd
1595433b6
hex6597513

106525971 has 12 divisors (see below), whose sum is σ = 153973872. Its totient is φ = 70969776.

The previous prime is 106525933. The next prime is 106525973. The reversal of 106525971 is 179525601.

106525971 is a `hidden beast` number, since 1 + 0 + 65 + 2 + 597 + 1 = 666.

It is not a de Polignac number, because 106525971 - 210 = 106524947 is a prime.

It is a super-2 number, since 2×1065259712 = 22695564994985682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106525973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15010 + ... + 20936.

It is an arithmetic number, because the mean of its divisors is an integer number (12831156).

Almost surely, 2106525971 is an apocalyptic number.

106525971 is a deficient number, since it is larger than the sum of its proper divisors (47447901).

106525971 is a wasteful number, since it uses less digits than its factorization.

106525971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 106525971 is about 10321.1419426341. The cubic root of 106525971 is about 474.0438324044.

The spelling of 106525971 in words is "one hundred six million, five hundred twenty-five thousand, nine hundred seventy-one".

Divisors: 1 3 9 1997 5927 5991 17781 17973 53343 11836219 35508657 106525971