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105377650050 = 23526091115337
BaseRepresentation
bin110001000100011111…
…1110101010110000010
3101001222221122021021210
41202020333311112002
53211303134300200
6120224304430550
710420233150351
oct1421077652602
9331887567253
10105377650050
1140765a33192
121850a918456
139c249859aa
145159349998
152b1b3dc650
hex1888ff5582

105377650050 has 48 divisors (see below), whose sum is σ = 261381743712. Its totient is φ = 28095849600.

The previous prime is 105377650039. The next prime is 105377650061. The reversal of 105377650050 is 50056773501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105377650039) and next prime (105377650061).

It is a super-2 number, since 2×1053776500502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105377649990 and 105377650008.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855982 + ... + 971318.

It is an arithmetic number, because the mean of its divisors is an integer number (5445452994).

Almost surely, 2105377650050 is an apocalyptic number.

105377650050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105377650050 is an abundant number, since it is smaller than the sum of its proper divisors (156004093662).

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

105377650050 is a wasteful number, since it uses less digits than its factorization.

105377650050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121443 (or 121438 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 39.

The spelling of 105377650050 in words is "one hundred five billion, three hundred seventy-seven million, six hundred fifty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 6091 12182 18273 30455 36546 60910 91365 115337 152275 182730 230674 304550 346011 456825 576685 692022 913650 1153370 1730055 2883425 3460110 5766850 8650275 17300550 702517667 1405035334 2107553001 3512588335 4215106002 7025176670 10537765005 17562941675 21075530010 35125883350 52688825025 105377650050