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105007725080 = 23522211181987
BaseRepresentation
bin110000111001011110…
…0101011101000011000
3101001001011120010121222
41201302330223220120
53210023434200310
6120123451551212
710405121636036
oct1416274535030
9331034503558
10105007725080
114059613a075
1218426a5b508
139b9614458b
145122173556
152ae8bba055
hex1872f2ba18

105007725080 has 32 divisors (see below), whose sum is σ = 236373960240. Its totient is φ = 41984142720.

The previous prime is 105007725071. The next prime is 105007725157. The reversal of 105007725080 is 80527700501.

It is a super-2 number, since 2×1050077250802 (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 105007725080.

It is a congruent number.

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, 502154 + ... + 679833.

Almost surely, 2105007725080 is an apocalyptic number.

105007725080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105007725080 is an abundant number, since it is smaller than the sum of its proper divisors (131366235160).

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

105007725080 is a wasteful number, since it uses less digits than its factorization.

105007725080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184219 (or 1184215 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The spelling of 105007725080 in words is "one hundred five billion, seven million, seven hundred twenty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 2221 4442 8884 11105 17768 22210 44420 88840 1181987 2363974 4727948 5909935 9455896 11819870 23639740 47279480 2625193127 5250386254 10500772508 13125965635 21001545016 26251931270 52503862540 105007725080