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106121464 = 23891131319
BaseRepresentation
bin1100101001101…
…00100011111000
321101200112021121
412110310203320
5204131341324
614310315024
72426006011
oct624644370
9241615247
10106121464
11549a2699
122b658a74
1318ca7b87
1410146008
1594b35e4
hex65348f8

106121464 has 32 divisors (see below), whose sum is σ = 203148000. Its totient is φ = 51960832.

The previous prime is 106121447. The next prime is 106121473. The reversal of 106121464 is 464121601.

It is a super-2 number, since 2×1061214642 = 22523530243006592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79797 + ... + 81115.

It is an arithmetic number, because the mean of its divisors is an integer number (6348375).

Almost surely, 2106121464 is an apocalyptic number.

It is an amenable number.

106121464 is a deficient number, since it is larger than the sum of its proper divisors (97026536).

106121464 is a wasteful number, since it uses less digits than its factorization.

106121464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106121464 is about 10301.5272654107. The cubic root of 106121464 is about 473.4430484720.

The spelling of 106121464 in words is "one hundred six million, one hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 89 113 178 226 356 452 712 904 1319 2638 5276 10057 10552 20114 40228 80456 117391 149047 234782 298094 469564 596188 939128 1192376 13265183 26530366 53060732 106121464