Search a number
-
+
105370664442551 = 732237655398467
BaseRepresentation
bin10111111101010110000101…
…000001100001101010110111
3111211002100002202222022010222
4113331112011001201222313
5102302343110044130201
61012034340500404555
731123531202525024
oct2775260501415267
9454070082868128
10105370664442551
11306354a2085582
12b99965a3a675b
1346a4546023111
141c03d7867254b
15c2aded2ac91b
hex5fd585061ab7

105370664442551 has 16 divisors (see below), whose sum is σ = 106879239754464. Its totient is φ = 103863865158144.

The previous prime is 105370664442529. The next prime is 105370664442583. The reversal of 105370664442551 is 155244466073501.

It is a cyclic number.

It is not a de Polignac number, because 105370664442551 - 26 = 105370664442487 is a prime.

It is a super-2 number, since 2×1053706644425512 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105370664442493 and 105370664442502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105370664442151) 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, 1070062220 + ... + 1070160686.

It is an arithmetic number, because the mean of its divisors is an integer number (6679952484654).

Almost surely, 2105370664442551 is an apocalyptic number.

105370664442551 is a deficient number, since it is larger than the sum of its proper divisors (1508575311913).

105370664442551 is an equidigital number, since it uses as much as digits as its factorization.

105370664442551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107330.

The product of its (nonzero) digits is 12096000, while the sum is 53.

The spelling of 105370664442551 in words is "one hundred five trillion, three hundred seventy billion, six hundred sixty-four million, four hundred forty-two thousand, five hundred fifty-one".

Divisors: 1 73 2237 6553 98467 163301 478369 7188091 14659061 220270679 645254251 1070111453 16079759567 47103560323 1443433759487 105370664442551