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105625422 = 23277111807
BaseRepresentation
bin1100100101110…
…11011101001110
321100202022211200
412102323131032
5204020003142
614251530330
72421541560
oct622733516
9240668750
10105625422
1154693a41
122b4599a6
1318b63166
1410057330
15941664c
hex64bb74e

105625422 has 48 divisors (see below), whose sum is σ = 265254912. Its totient is φ = 29751120.

The previous prime is 105625411. The next prime is 105625447. The reversal of 105625422 is 224526501.

105625422 is a `hidden beast` number, since 10 + 5 + 625 + 4 + 22 = 666.

It is a super-2 number, since 2×1056254222 = 22313459545356168, 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 23 ways as a sum of consecutive naturals, for example, 3043 + ... + 14849.

It is an arithmetic number, because the mean of its divisors is an integer number (5526144).

Almost surely, 2105625422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105625422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132627456).

105625422 is an abundant number, since it is smaller than the sum of its proper divisors (159629490).

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

105625422 is a wasteful number, since it uses less digits than its factorization.

105625422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105625422 is about 10277.4229260063. The cubic root of 105625422 is about 472.7042268239.

The spelling of 105625422 in words is "one hundred five million, six hundred twenty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 4473 8946 11807 23614 35421 70842 82649 106263 165298 212526 247947 495894 743841 838297 1487682 1676594 2514891 5029782 5868079 7544673 11736158 15089346 17604237 35208474 52812711 105625422