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105425524431 = 3315125858603
BaseRepresentation
bin110001000101111011…
…0011101011011001111
3101002010021201112121000
41202023312131123033
53211402413240211
6120233134511343
710421354112663
oct1421366353317
9332107645530
10105425524431
114078aa61997
1218522965553
139c31878726
14516184c8a3
152b206e7656
hex188bd9d6cf

105425524431 has 16 divisors (see below), whose sum is σ = 157220312320. Its totient is φ = 69818225400.

The previous prime is 105425524423. The next prime is 105425524433. The reversal of 105425524431 is 134425524501.

105425524431 is a `hidden beast` number, since 1 + 0 + 542 + 55 + 24 + 43 + 1 = 666.

It is not a de Polignac number, because 105425524431 - 23 = 105425524423 is a prime.

It is a super-2 number, since 2×1054255244312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105425524433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12925225 + ... + 12933378.

It is an arithmetic number, because the mean of its divisors is an integer number (9826269520).

Almost surely, 2105425524431 is an apocalyptic number.

105425524431 is a deficient number, since it is larger than the sum of its proper divisors (51794787889).

105425524431 is a wasteful number, since it uses less digits than its factorization.

105425524431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25858763 (or 25858757 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 105425524431 in words is "one hundred five billion, four hundred twenty-five million, five hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 151 453 1359 4077 25858603 77575809 232727427 698182281 3904649053 11713947159 35141841477 105425524431