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105369452552 = 23713971492147
BaseRepresentation
bin110001000100010000…
…0100100000000001000
3101001222101012210102202
41202020200210000020
53211244034440202
6120223413015332
710420103366060
oct1421040440010
9331871183382
10105369452552
11407613442a1
1218508024548
139c230756c0
1451582143a0
152b1a81d802
hex1888824008

105369452552 has 64 divisors (see below), whose sum is σ = 245667246720. Its totient is φ = 41254852608.

The previous prime is 105369452497. The next prime is 105369452557. The reversal of 105369452552 is 255254963501.

105369452552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053694525522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105369452497 and 105369452506.

It is not an unprimeable number, because it can be changed into a prime (105369452557) 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, 675458 + ... + 816689.

It is an arithmetic number, because the mean of its divisors is an integer number (3838550730).

Almost surely, 2105369452552 is an apocalyptic number.

It is an amenable number.

105369452552 is an abundant number, since it is smaller than the sum of its proper divisors (140297794168).

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

105369452552 is a wasteful number, since it uses less digits than its factorization.

105369452552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492270 (or 1492266 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 47.

The spelling of 105369452552 in words is "one hundred five billion, three hundred sixty-nine million, four hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 97 104 182 194 364 388 679 728 776 1261 1358 2522 2716 5044 5432 8827 10088 17654 35308 70616 1492147 2984294 5968588 10445029 11937176 19397911 20890058 38795822 41780116 77591644 83560232 135785377 144738259 155183288 271570754 289476518 543141508 578953036 1013167813 1086283016 1157906072 1881597367 2026335626 3763194734 4052671252 7526389468 8105342504 13171181569 15052778936 26342363138 52684726276 105369452552