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106404522 = 23719472837
BaseRepresentation
bin1100101011110…
…01101010101010
321102012220120020
412111321222222
5204214421042
614320341310
72431265160
oct625715252
9242186506
10106404522
1155076324
122b774836
1319076973
14101bb230
15951c3ec
hex6579aaa

106404522 has 64 divisors (see below), whose sum is σ = 261550080. Its totient is φ = 28178496.

The previous prime is 106404521. The next prime is 106404523. The reversal of 106404522 is 225404601.

It is an interprime number because it is at equal distance from previous prime (106404521) and next prime (106404523).

It is a super-2 number, since 2×1064045222 = 22643844604096968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106404492 and 106404501.

It is not an unprimeable number, because it can be changed into a prime (106404521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36088 + ... + 38924.

It is an arithmetic number, because the mean of its divisors is an integer number (4086720).

Almost surely, 2106404522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106404522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130775040).

106404522 is an abundant number, since it is smaller than the sum of its proper divisors (155145558).

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

106404522 is a wasteful number, since it uses less digits than its factorization.

106404522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 106404522 is about 10315.2567588015. The cubic root of 106404522 is about 473.8636133090.

The spelling of 106404522 in words is "one hundred six million, four hundred four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 57 94 114 133 141 266 282 329 399 658 798 893 987 1786 1974 2679 2837 5358 5674 6251 8511 12502 17022 18753 19859 37506 39718 53903 59577 107806 119154 133339 161709 266678 323418 377321 400017 754642 800034 933373 1131963 1866746 2263926 2533441 2800119 5066882 5600238 7600323 15200646 17734087 35468174 53202261 106404522