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106240416310 = 257101106914057
BaseRepresentation
bin110001011110001101…
…1000001101000110110
3101011020002002100002201
41202330123001220312
53220040021310220
6120450044455114
710450510432030
oct1427433015066
9334202070081
10106240416310
1141068a44256
121870b84a49a
13a031643982
1451dbb72c50
152b6c011d0a
hex18bc6c1a36

106240416310 has 64 divisors (see below), whose sum is σ = 220937777280. Its totient is φ = 36028339200.

The previous prime is 106240416263. The next prime is 106240416313. The reversal of 106240416310 is 13614042601.

It is a super-2 number, since 2×1062404163102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106240416313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7550802 + ... + 7564858.

It is an arithmetic number, because the mean of its divisors is an integer number (3452152770).

Almost surely, 2106240416310 is an apocalyptic number.

106240416310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106240416310 is an abundant number, since it is smaller than the sum of its proper divisors (114697360970).

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

106240416310 is a wasteful number, since it uses less digits than its factorization.

106240416310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15241.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 106240416310 its reverse (13614042601), we get a palindrome (119854458911).

The spelling of 106240416310 in words is "one hundred six billion, two hundred forty million, four hundred sixteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 101 202 505 707 1010 1069 1414 2138 3535 5345 7070 7483 10690 14057 14966 28114 37415 70285 74830 98399 107969 140570 196798 215938 491995 539845 755783 983990 1079690 1419757 1511566 2839514 3778915 7098785 7557830 9938299 14197570 15026933 19876598 30053866 49691495 75134665 99382990 105188531 150269330 210377062 525942655 1051885310 1517720233 3035440466 7588601165 10624041631 15177202330 21248083262 53120208155 106240416310