Search a number
-
+
106046362545 = 3523535799637
BaseRepresentation
bin110001011000011011…
…0110001001110110001
3101010201112221101101020
41202300312301032301
53214140332100140
6120414513330053
710442633131434
oct1426066611661
9333645841336
10106046362545
1140a79452842
1218676866929
13a00038c066
1451c009b81b
152b59e7e6d0
hex18b0db13b1

106046362545 has 32 divisors (see below), whose sum is σ = 180391940352. Its totient is φ = 53078268672.

The previous prime is 106046362529. The next prime is 106046362601. The reversal of 106046362545 is 545263640601.

It is not a de Polignac number, because 106046362545 - 24 = 106046362529 is a prime.

It is a super-2 number, since 2×1060463625452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106046362497 and 106046362506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2881534 + ... + 2918103.

It is an arithmetic number, because the mean of its divisors is an integer number (5637248136).

Almost surely, 2106046362545 is an apocalyptic number.

106046362545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106046362545 is a deficient number, since it is larger than the sum of its proper divisors (74345577807).

106046362545 is a wasteful number, since it uses less digits than its factorization.

106046362545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799721.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 106046362545 in words is "one hundred six billion, forty-six million, three hundred sixty-two thousand, five hundred forty-five".

Divisors: 1 3 5 15 23 53 69 115 159 265 345 795 1219 3657 6095 18285 5799637 17398911 28998185 86994555 133391651 307380761 400174953 666958255 922142283 1536903805 2000874765 4610711415 7069757503 21209272509 35348787515 106046362545