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105040103436 = 22322917780651
BaseRepresentation
bin110000111010011100…
…0001100100000001100
3101001010102111010101100
41201310320030200030
53210110231302221
6120131005543100
710405664101422
oct1416470144014
9331112433340
10105040103436
1140602444444
1218435874a90
139b9ca6cc78
1451265a1112
152aeb963926
hex1874e0c80c

105040103436 has 18 divisors (see below), whose sum is σ = 265518039332. Its totient is φ = 35013367800.

The previous prime is 105040103431. The next prime is 105040103507. The reversal of 105040103436 is 634301040501.

105040103436 is a `hidden beast` number, since 10 + 504 + 0 + 103 + 43 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1050401034362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105040103431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1458890290 + ... + 1458890361.

Almost surely, 2105040103436 is an apocalyptic number.

It is an amenable number.

105040103436 is an abundant number, since it is smaller than the sum of its proper divisors (160477935896).

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

105040103436 is a wasteful number, since it uses less digits than its factorization.

105040103436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917780661 (or 2917780656 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 105040103436 its reverse (634301040501), we get a palindrome (739341143937).

The spelling of 105040103436 in words is "one hundred five billion, forty million, one hundred three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2917780651 5835561302 8753341953 11671122604 17506683906 26260025859 35013367812 52520051718 105040103436