Search a number
-
+
105025757655 = 3571376941947
BaseRepresentation
bin110000111010000000…
…1011110000111010111
3101001002102111021200010
41201310001132013113
53210043043221110
6120125334251303
710405431132120
oct1416401360727
9331072437603
10105025757655
11405a5336225
1218430ab6b33
139b99ab9340
145124709047
152aea57d020
hex187405e1d7

105025757655 has 32 divisors (see below), whose sum is σ = 206819956224. Its totient is φ = 44318560896.

The previous prime is 105025757623. The next prime is 105025757717. The reversal of 105025757655 is 556757520501.

It is not a de Polignac number, because 105025757655 - 25 = 105025757623 is a prime.

It is a super-2 number, since 2×1050257576552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38469609 + ... + 38472338.

It is an arithmetic number, because the mean of its divisors is an integer number (6463123632).

Almost surely, 2105025757655 is an apocalyptic number.

105025757655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105025757655 is a deficient number, since it is larger than the sum of its proper divisors (101794198569).

105025757655 is a wasteful number, since it uses less digits than its factorization.

105025757655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76941975.

The product of its (nonzero) digits is 1837500, while the sum is 48.

The spelling of 105025757655 in words is "one hundred five billion, twenty-five million, seven hundred fifty-seven thousand, six hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 76941947 230825841 384709735 538593629 1000245311 1154129205 1615780887 2692968145 3000735933 5001226555 7001717177 8078904435 15003679665 21005151531 35008585885 105025757655