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105216265520 = 2452357182753
BaseRepresentation
bin110000111111101100…
…0001100110100110000
3101001120200222002022222
41201333120030310300
53210440330444040
6120200301420212
710413233333462
oct1417730146460
9331520862288
10105216265520
1140692925643
121848486a668
139bca3cbca2
145141b3a132
152b0c15ebb5
hex187f60cd30

105216265520 has 40 divisors (see below), whose sum is σ = 255263813856. Its totient is φ = 40256657408.

The previous prime is 105216265519. The next prime is 105216265549. The reversal of 105216265520 is 25562612501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1052162655202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28589537 + ... + 28593216.

Almost surely, 2105216265520 is an apocalyptic number.

105216265520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105216265520 is an abundant number, since it is smaller than the sum of its proper divisors (150047548336).

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

105216265520 is a wasteful number, since it uses less digits than its factorization.

105216265520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57182789 (or 57182783 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 105216265520 in words is "one hundred five billion, two hundred sixteen million, two hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 57182753 114365506 228731012 285913765 457462024 571827530 914924048 1143655060 1315203319 2287310120 2630406638 4574620240 5260813276 6576016595 10521626552 13152033190 21043253104 26304066380 52608132760 105216265520