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106423745953 = 71931613671153
BaseRepresentation
bin110001100011101011…
…0010111110110100001
3101011200212001110002111
41203013112113312201
53220423434332303
6120520154115321
710455164625550
oct1430726276641
9334625043074
10106423745953
1141152480558
121876111bb41
13a060612255
145218255d97
152b7d176b6d
hex18c7597da1

106423745953 has 64 divisors (see below), whose sum is σ = 134807879680. Its totient is φ = 81965260800.

The previous prime is 106423745941. The next prime is 106423746031. The reversal of 106423745953 is 359547324601.

It is not a de Polignac number, because 106423745953 - 217 = 106423614881 is a prime.

It is a super-2 number, since 2×1064237459532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106423745897 and 106423745906.

It is not an unprimeable number, because it can be changed into a prime (106423740953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92301025 + ... + 92302177.

It is an arithmetic number, because the mean of its divisors is an integer number (2106373120).

Almost surely, 2106423745953 is an apocalyptic number.

It is an amenable number.

106423745953 is a deficient number, since it is larger than the sum of its proper divisors (28384133727).

106423745953 is a wasteful number, since it uses less digits than its factorization.

106423745953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638.

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 106423745953 in words is "one hundred six billion, four hundred twenty-three million, seven hundred forty-five thousand, nine hundred fifty-three".

Divisors: 1 7 19 31 61 133 217 367 427 589 1153 1159 1891 2569 4123 6973 8071 8113 11377 13237 21907 22387 35743 35929 48811 70333 79639 153349 156709 216163 250201 251503 423151 425353 492331 679117 693997 1336327 1513141 2180323 2962057 2977471 4753819 4857979 8039869 9354289 13117681 13185943 15262261 25812211 41426137 56279083 91823767 92301601 180685477 249235939 289982959 490432009 800178541 1744651573 3433024063 5601249787 15203392279 106423745953