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106191924 = 22337239171
BaseRepresentation
bin1100101010001…
…01110000110100
321101211002221020
412111011300310
5204141120144
614312021140
72426421306
oct625056064
9241732836
10106191924
1154a40623
122b6917b0
1319000c77
1410163976
1594c9419
hex6545c34

106191924 has 24 divisors (see below), whose sum is σ = 254479008. Its totient is φ = 34440480.

The previous prime is 106191923. The next prime is 106191959. The reversal of 106191924 is 429191601.

It is a super-3 number, since 3×1061919243 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106191923) 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, 119142 + ... + 120029.

It is an arithmetic number, because the mean of its divisors is an integer number (10603292).

Almost surely, 2106191924 is an apocalyptic number.

It is an amenable number.

106191924 is an abundant number, since it is smaller than the sum of its proper divisors (148287084).

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

106191924 is a wasteful number, since it uses less digits than its factorization.

106191924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239215 (or 239213 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 106191924 is about 10304.9465791920. The cubic root of 106191924 is about 473.5478071002.

The spelling of 106191924 in words is "one hundred six million, one hundred ninety-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 239171 478342 717513 956684 1435026 2870052 8849327 17698654 26547981 35397308 53095962 106191924