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106006262502 = 2376177353527
BaseRepresentation
bin110001010111001110…
…1110011001011100110
3101010121202111002110110
41202232131303023212
53214100100400002
6120410522033450
710441635235620
oct1425635631346
9333552432413
10106006262502
1140a58854008
1218665348886
139cc4c8bb1a
1451b8a1dc10
152b566ace6c
hex18ae7732e6

106006262502 has 64 divisors (see below), whose sum is σ = 246595359744. Its totient is φ = 29751891840.

The previous prime is 106006262501. The next prime is 106006262507. The reversal of 106006262502 is 205262600601.

106006262502 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1060062625022 (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 106006262502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006262501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953663 + ... + 2007189.

It is an arithmetic number, because the mean of its divisors is an integer number (3853052496).

Almost surely, 2106006262502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106006262502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123297679872).

106006262502 is an abundant number, since it is smaller than the sum of its proper divisors (140589097242).

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

106006262502 is a wasteful number, since it uses less digits than its factorization.

106006262502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54373.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 106006262502 in words is "one hundred six billion, six million, two hundred sixty-two thousand, five hundred two".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 773 854 1281 1546 2319 2562 4638 5411 10822 16233 32466 47153 53527 94306 107054 141459 160581 282918 321162 330071 374689 660142 749378 990213 1124067 1980426 2248134 3265147 6530294 9795441 19590882 22856029 41376371 45712058 68568087 82752742 124129113 137136174 248258226 289634597 579269194 868903791 1737807582 2523958631 5047917262 7571875893 15143751786 17667710417 35335420834 53003131251 106006262502