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106561115065062 = 23276011407193237
BaseRepresentation
bin11000001110101010110001…
…011010010000101011100110
3111222022010212022211202212200
4120032222301122100223212
5102431344130424040222
61014345300032555330
731305533525050260
oct3016526132205346
9458263768752780
10106561115065062
1130a54351458a59
12bb503119b2b46
13475c8930a77a8
141c4582a818b30
15c4bd7494ceac
hex60eab1690ae6

106561115065062 has 48 divisors (see below), whose sum is σ = 264304662734112. Its totient is φ = 30395373897600.

The previous prime is 106561115065051. The next prime is 106561115065109. The reversal of 106561115065062 is 260560511165601.

106561115065062 is a `hidden beast` number, since 10 + 6 + 5 + 61 + 11 + 506 + 5 + 0 + 62 = 666.

It is a super-2 number, since 2×1065611150650622 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106561115064999 and 106561115065017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703520893 + ... + 703672344.

It is an arithmetic number, because the mean of its divisors is an integer number (5506347140294).

Almost surely, 2106561115065062 is an apocalyptic number.

106561115065062 is an abundant number, since it is smaller than the sum of its proper divisors (157743547669050).

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

106561115065062 is a wasteful number, since it uses less digits than its factorization.

106561115065062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407193853 (or 1407193850 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 106561115065062 in words is "one hundred six trillion, five hundred sixty-one billion, one hundred fifteen million, sixty-five thousand, sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 601 1202 1803 3606 4207 5409 8414 10818 12621 25242 37863 75726 1407193237 2814386474 4221579711 8443159422 9850352659 12664739133 19700705318 25329478266 29551057977 59102115954 88653173931 177306347862 845723135437 1691446270874 2537169406311 5074338812622 5920061948059 7611508218933 11840123896118 15223016437866 17760185844177 35520371688354 53280557532531 106561115065062