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106625430252 = 223211269256137
BaseRepresentation
bin110001101001101011…
…1101111001011101100
3101012012220120001221100
41203103113233023230
53221332102232002
6120552201003100
710463164126455
oct1432327571354
9335186501840
10106625430252
11412463039a0
12187b8783490
13a093339083
145236d5612c
152b90c1511c
hex18d35ef2ec

106625430252 has 36 divisors (see below), whose sum is σ = 294027702696. Its totient is φ = 32310736320.

The previous prime is 106625430203. The next prime is 106625430257. The reversal of 106625430252 is 252034526601.

106625430252 is a `hidden beast` number, since 1 + 0 + 6 + 62 + 543 + 0 + 2 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1066254302522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106625430257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134627673 + ... + 134628464.

It is an arithmetic number, because the mean of its divisors is an integer number (8167436186).

Almost surely, 2106625430252 is an apocalyptic number.

106625430252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106625430252 is an abundant number, since it is smaller than the sum of its proper divisors (187402272444).

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

106625430252 is a wasteful number, since it uses less digits than its factorization.

106625430252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269256158 (or 269256153 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 106625430252 its reverse (252034526601), we get a palindrome (358659956853).

The spelling of 106625430252 in words is "one hundred six billion, six hundred twenty-five million, four hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 269256137 538512274 807768411 1077024548 1615536822 2423305233 2961817507 3231073644 4846610466 5923635014 8885452521 9693220932 11847270028 17770905042 26656357563 35541810084 53312715126 106625430252