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106236454912 = 211713754091
BaseRepresentation
bin110001011110000101…
…1111010100000000000
3101011012210122002002021
41202330023322200000
53220033013024122
6120445423531224
710450431652540
oct1427413724000
9334183562067
10106236454912
1141066788a75
121870a459b14
13a030887853
1451db421320
152b6b9cd1c7
hex18bc2fa800

106236454912 has 96 divisors (see below), whose sum is σ = 244543440960. Its totient is φ = 45196738560.

The previous prime is 106236454903. The next prime is 106236454921. The reversal of 106236454912 is 219454632601.

It is an interprime number because it is at equal distance from previous prime (106236454903) and next prime (106236454921).

It is a super-2 number, since 2×1062364549122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1936987 + ... + 1991077.

It is an arithmetic number, because the mean of its divisors is an integer number (2547327510).

Almost surely, 2106236454912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106236454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122271720480).

106236454912 is an abundant number, since it is smaller than the sum of its proper divisors (138306986048).

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

106236454912 is an equidigital number, since it uses as much as digits as its factorization.

106236454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54257 (or 54237 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 106236454912 in words is "one hundred six billion, two hundred thirty-six million, four hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 448 512 548 896 959 1024 1096 1792 1918 2048 2192 3584 3836 4384 7168 7672 8768 14336 15344 17536 30688 35072 54091 61376 70144 108182 122752 140288 216364 245504 280576 378637 432728 491008 757274 865456 982016 1514548 1730912 1964032 3029096 3461824 6058192 6923648 7410467 12116384 13847296 14820934 24232768 27694592 29641868 48465536 51873269 55389184 59283736 96931072 103746538 110778368 118567472 193862144 207493076 237134944 387724288 414986152 474269888 775448576 829972304 948539776 1659944608 1897079552 3319889216 3794159104 6639778432 7588318208 13279556864 15176636416 26559113728 53118227456 106236454912