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105349358148 = 223233583106531
BaseRepresentation
bin110001000011101001…
…1111010001001000100
3101001220222101220002120
41202013103322021010
53211223413430043
6120221414205540
710416440524566
oct1420723721104
9331828356076
10105349358148
1140750a6a051
12185013538b0
139c1bb5b318
1451556a3336
152b18b9e983
hex18874fa244

105349358148 has 48 divisors (see below), whose sum is σ = 256576782336. Its totient is φ = 33579960480.

The previous prime is 105349358143. The next prime is 105349358243. The reversal of 105349358148 is 841853943501.

It is a super-2 number, since 2×1053493581482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105349358148.

It is not an unprimeable number, because it can be changed into a prime (105349358143) 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, 935643 + ... + 1042173.

It is an arithmetic number, because the mean of its divisors is an integer number (5345349632).

Almost surely, 2105349358148 is an apocalyptic number.

It is an amenable number.

105349358148 is an abundant number, since it is smaller than the sum of its proper divisors (151227424188).

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

105349358148 is a wasteful number, since it uses less digits than its factorization.

105349358148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110144 (or 110142 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 105349358148 in words is "one hundred five billion, three hundred forty-nine million, three hundred fifty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 3583 7166 10749 14332 21498 42996 82409 106531 164818 213062 247227 319593 329636 426124 494454 639186 988908 1278372 2450213 4900426 7350639 9800852 14701278 29402556 381700573 763401146 1145101719 1526802292 2290203438 4580406876 8779113179 17558226358 26337339537 35116452716 52674679074 105349358148