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106675453480 = 235104912172089
BaseRepresentation
bin110001101011001011…
…0100011111000101000
3101012100101200111220111
41203112112203320220
53221432404002410
6121001145104104
710464342252001
oct1432626437050
9335311614814
10106675453480
1141271570102
1218811488034
13a0a0801c0b
14523d8581a8
152b952e6b8a
hex18d65a3e28

106675453480 has 64 divisors (see below), whose sum is σ = 240561090000. Its totient is φ = 42574086144.

The previous prime is 106675453421. The next prime is 106675453481. The reversal of 106675453480 is 84354576601.

It can be written as a sum of positive squares in 8 ways, for example, as 83432011716 + 23243441764 = 288846^2 + 152458^2 .

It is a super-2 number, since 2×1066754534802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106675453481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51064276 + ... + 51066364.

Almost surely, 2106675453480 is an apocalyptic number.

106675453480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106675453480 is an abundant number, since it is smaller than the sum of its proper divisors (133885636520).

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

106675453480 is a wasteful number, since it uses less digits than its factorization.

106675453480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 106675453480 in words is "one hundred six billion, six hundred seventy-five million, four hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 1049 1217 2089 2098 2434 4178 4196 4868 5245 6085 8356 8392 9736 10445 10490 12170 16712 20890 20980 24340 41780 41960 48680 83560 1276633 2191361 2542313 2553266 4382722 5084626 5106532 6383165 8765444 10169252 10213064 10956805 12711565 12766330 17530888 20338504 21913610 25423130 25532660 43827220 50846260 51065320 87654440 101692520 2666886337 5333772674 10667545348 13334431685 21335090696 26668863370 53337726740 106675453480