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105002405515 = 5722231921889
BaseRepresentation
bin110000111001010100…
…0011000111010001011
3101001000210112212120001
41201302220120322023
53210021103434030
6120123141543431
710405025502100
oct1416250307213
9331023485501
10105002405515
1140593136437
1218425114b77
139b950011c7
14512158aaa7
152ae84b8cca
hex1872a18e8b

105002405515 has 24 divisors (see below), whose sum is σ = 147232149120. Its totient is φ = 71678734848.

The previous prime is 105002405483. The next prime is 105002405537. The reversal of 105002405515 is 515504200501.

It is not a de Polignac number, because 105002405515 - 25 = 105002405483 is a prime.

It is a super-2 number, since 2×1050024055152 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 906310 + ... + 1015579.

It is an arithmetic number, because the mean of its divisors is an integer number (6134672880).

Almost surely, 2105002405515 is an apocalyptic number.

105002405515 is a deficient number, since it is larger than the sum of its proper divisors (42229743605).

105002405515 is a wasteful number, since it uses less digits than its factorization.

105002405515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922131 (or 1922124 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

The spelling of 105002405515 in words is "one hundred five billion, two million, four hundred five thousand, five hundred fifteen".

Divisors: 1 5 7 35 49 223 245 1115 1561 7805 10927 54635 1921889 9609445 13453223 67266115 94172561 428581247 470862805 2142906235 3000068729 15000343645 21000481103 105002405515