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105004153452 = 223113312403281
BaseRepresentation
bin110000111001010111…
…1000011101001101100
3101001000220211200021110
41201302233003221230
53210022030402302
6120123243232020
710405046402112
oct1416257035154
9331026750243
10105004153452
114059411a710
1218425818610
139b954939a3
1451218c3ab2
152ae8711b6c
hex1872bc3a6c

105004153452 has 48 divisors (see below), whose sum is σ = 268090913664. Its totient is φ = 31723296000.

The previous prime is 105004153439. The next prime is 105004153459. The reversal of 105004153452 is 254351400501.

It is a super-2 number, since 2×1050041534522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105004153459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157949 + ... + 1245332.

It is an arithmetic number, because the mean of its divisors is an integer number (5585227368).

Almost surely, 2105004153452 is an apocalyptic number.

105004153452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105004153452 is an abundant number, since it is smaller than the sum of its proper divisors (163086760212).

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

105004153452 is a wasteful number, since it uses less digits than its factorization.

105004153452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403630 (or 2403628 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105004153452 its reverse (254351400501), we get a palindrome (359355553953).

The spelling of 105004153452 in words is "one hundred five billion, four million, one hundred fifty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 331 662 993 1324 1986 3641 3972 7282 10923 14564 21846 43692 2403281 4806562 7209843 9613124 14419686 26436091 28839372 52872182 79308273 105744364 158616546 317233092 795486011 1590972022 2386458033 3181944044 4772916066 8750346121 9545832132 17500692242 26251038363 35001384484 52502076726 105004153452