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106789432148 = 22729131514079
BaseRepresentation
bin110001101110100100…
…1010110101101010100
3101012122100011020020122
41203131021112231110
53222201043312043
6121020340051112
710500225124220
oct1433511265524
9335570136218
10106789432148
114131a939a53
1218843693a98
13a0bb2cb209
145250a47780
152ba030d368
hex18dd256b54

106789432148 has 24 divisors (see below), whose sum is σ = 220943654400. Its totient is φ = 44188730208.

The previous prime is 106789432133. The next prime is 106789432159. The reversal of 106789432148 is 841234987601.

It is a super-2 number, since 2×1067894321482 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106789432148.

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 7 ways as a sum of consecutive naturals, for example, 65756228 + ... + 65757851.

It is an arithmetic number, because the mean of its divisors is an integer number (9205985600).

Almost surely, 2106789432148 is an apocalyptic number.

It is an amenable number.

106789432148 is an abundant number, since it is smaller than the sum of its proper divisors (114154222252).

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

106789432148 is a wasteful number, since it uses less digits than its factorization.

106789432148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131514119 (or 131514117 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 106789432148 in words is "one hundred six billion, seven hundred eighty-nine million, four hundred thirty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 131514079 263028158 526056316 920598553 1841197106 3682394212 3813908291 7627816582 15255633164 26697358037 53394716074 106789432148