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106402422 = 23721761349
BaseRepresentation
bin1100101011110…
…01001001110110
321102012210200110
412111321021312
5204214334142
614320323450
72431256100
oct625711166
9242183613
10106402422
1155074795
122b773586
1319075a19
14101ba570
15951b99c
hex6579276

106402422 has 96 divisors (see below), whose sum is σ = 267170400. Its totient is φ = 28062720.

The previous prime is 106402409. The next prime is 106402423. The reversal of 106402422 is 224204601.

It is a super-2 number, since 2×1064024222 = 22642950814932168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106402423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304704 + ... + 305052.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 2106402422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106402422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

106402422 is an abundant number, since it is smaller than the sum of its proper divisors (160767978).

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

106402422 is a wasteful number, since it uses less digits than its factorization.

106402422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 106402422 is about 10315.1549673284. The cubic root of 106402422 is about 473.8604958972.

The spelling of 106402422 in words is "one hundred six million, four hundred two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 61 98 102 119 122 147 183 238 294 349 357 366 427 698 714 833 854 1037 1047 1281 1666 2074 2094 2443 2499 2562 2989 3111 4886 4998 5933 5978 6222 7259 7329 8967 11866 14518 14658 17101 17799 17934 21289 21777 34202 35598 41531 42578 43554 50813 51303 63867 83062 101626 102606 124593 127734 149023 152439 249186 290717 298046 304878 361913 447069 581434 723826 872151 894138 1043161 1085739 1744302 2086322 2171478 2533391 3129483 5066782 6258966 7600173 15200346 17733737 35467474 53201211 106402422