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105400364060 = 22537123141961
BaseRepresentation
bin110001000101001011…
…0011110110000011100
3101002001112101021001102
41202022112132300130
53211324443122220
6120230435332232
710420630212065
oct1421226366034
9332045337042
10105400364060
11407778375a2
1218516451078
139c295a9534
14515c37d56c
152b1d3c7775
hex188a59ec1c

105400364060 has 24 divisors (see below), whose sum is σ = 221348286096. Its totient is φ = 42158712960.

The previous prime is 105400364057. The next prime is 105400364071. The reversal of 105400364060 is 60463004501.

It is a happy number.

It is a super-2 number, since 2×1054003640602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 671480 + ... + 813440.

It is an arithmetic number, because the mean of its divisors is an integer number (9222845254).

Almost surely, 2105400364060 is an apocalyptic number.

105400364060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105400364060 is an abundant number, since it is smaller than the sum of its proper divisors (115947922036).

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

105400364060 is a wasteful number, since it uses less digits than its factorization.

105400364060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179093 (or 179091 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 105400364060 its reverse (60463004501), we get a palindrome (165863368561).

The spelling of 105400364060 in words is "one hundred five billion, four hundred million, three hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 10 20 37123 74246 141961 148492 185615 283922 371230 567844 709805 742460 1419610 2839220 5270018203 10540036406 21080072812 26350091015 52700182030 105400364060