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105400364025 = 35211127758017
BaseRepresentation
bin110001000101001011…
…0011110101111111001
3101002001112101021000010
41202022112132233321
53211324443122100
6120230435332133
710420630212015
oct1421226365771
9332045337003
10105400364025
1140777837570
1218516451049
139c295a9508
14515c37d545
152b1d3c7750
hex188a59ebf9

105400364025 has 24 divisors (see below), whose sum is σ = 190103930784. Its totient is φ = 51103206400.

The previous prime is 105400364023. The next prime is 105400364057. The reversal of 105400364025 is 520463004501.

It is not a de Polignac number, because 105400364025 - 21 = 105400364023 is a prime.

It is a super-2 number, since 2×1054003640252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105400363983 and 105400364001.

It is not an unprimeable number, because it can be changed into a prime (105400364023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63878184 + ... + 63879833.

It is an arithmetic number, because the mean of its divisors is an integer number (7920997116).

Almost surely, 2105400364025 is an apocalyptic number.

105400364025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105400364025 is a deficient number, since it is larger than the sum of its proper divisors (84703566759).

105400364025 is a wasteful number, since it uses less digits than its factorization.

105400364025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127758041 (or 127758036 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105400364025 its reverse (520463004501), we get a palindrome (625863368526).

The spelling of 105400364025 in words is "one hundred five billion, four hundred million, three hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 127758017 383274051 638790085 1405338187 1916370255 3193950425 4216014561 7026690935 9581851275 21080072805 35133454675 105400364025