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106445955450 = 23521621743759
BaseRepresentation
bin110001100100010101…
…1000110000101111010
3101011202101211210210110
41203020223012011322
53221000131033300
6120522310125150
710455554456352
oct1431053060572
9334671753713
10106445955450
1141163a6a90a
12187686507b6
13a0650ba273
14521b197b62
152b800b2550
hex18c8ac617a

106445955450 has 48 divisors (see below), whose sum is σ = 264008280960. Its totient is φ = 28383189120.

The previous prime is 106445955431. The next prime is 106445955457. The reversal of 106445955450 is 54559544601.

It is a super-2 number, since 2×1064459554502 (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 106445955450.

It is not an unprimeable number, because it can be changed into a prime (106445955457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410671 + ... + 2454429.

It is an arithmetic number, because the mean of its divisors is an integer number (5500172520).

Almost surely, 2106445955450 is an apocalyptic number.

106445955450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106445955450 is an abundant number, since it is smaller than the sum of its proper divisors (157562325510).

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

106445955450 is a wasteful number, since it uses less digits than its factorization.

106445955450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59991 (or 59986 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 106445955450 in words is "one hundred six billion, four hundred forty-five million, nine hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 16217 32434 43759 48651 81085 87518 97302 131277 162170 218795 243255 262554 405425 437590 486510 656385 810850 1093975 1216275 1312770 2187950 2432550 3281925 6563850 709639703 1419279406 2128919109 3548198515 4257838218 7096397030 10644595545 17740992575 21289191090 35481985150 53222977725 106445955450