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105151005126 = 23228320642129
BaseRepresentation
bin110000111101101111…
…1010000000111000110
3101001102011011111220100
41201323133100013012
53210322124131001
6120150010544530
710411511540106
oct1417337200706
9331364144810
10105151005126
114065a001532
1218466a38146
139bb9a2c87b
1451371cd206
152b0656d586
hex187b7d01c6

105151005126 has 24 divisors (see below), whose sum is σ = 228632231880. Its totient is φ = 34926480576.

The previous prime is 105151005107. The next prime is 105151005139. The reversal of 105151005126 is 621500151501.

105151005126 is a `hidden beast` number, since 10 + 515 + 10 + 0 + 5 + 126 = 666.

It is a super-2 number, since 2×1051510051262 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105151005126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10315971 + ... + 10326158.

It is an arithmetic number, because the mean of its divisors is an integer number (9526342995).

Almost surely, 2105151005126 is an apocalyptic number.

105151005126 is an abundant number, since it is smaller than the sum of its proper divisors (123481226754).

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

105151005126 is a wasteful number, since it uses less digits than its factorization.

105151005126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642420 (or 20642417 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 105151005126 its reverse (621500151501), we get a palindrome (726651156627).

The spelling of 105151005126 in words is "one hundred five billion, one hundred fifty-one million, five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 283 566 849 1698 2547 5094 20642129 41284258 61926387 123852774 185779161 371558322 5841722507 11683445014 17525167521 35050335042 52575502563 105151005126