Search a number
-
+
106016510097 = 3310953036793
BaseRepresentation
bin110001010111100010…
…0111001000010010001
3101010122110202201112000
41202233010321002101
53214110211310342
6120411525424213
710442121316161
oct1425704710221
9333573681460
10106016510097
1140a636131a3
121866886b069
139cc71392a4
1451ba12a5a1
152b5753444c
hex18af139091

106016510097 has 32 divisors (see below), whose sum is σ = 158555654400. Its totient is φ = 70005741696.

The previous prime is 106016510087. The next prime is 106016510107. The reversal of 106016510097 is 790015610601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106016510087) and next prime (106016510107).

It is not a de Polignac number, because 106016510097 - 220 = 106015461521 is a prime.

It is a super-2 number, since 2×1060165100972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106016510077) 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, 15603333 + ... + 15610125.

It is an arithmetic number, because the mean of its divisors is an integer number (4954864200).

Almost surely, 2106016510097 is an apocalyptic number.

It is an amenable number.

106016510097 is a deficient number, since it is larger than the sum of its proper divisors (52539144303).

106016510097 is a wasteful number, since it uses less digits than its factorization.

106016510097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 106016510097 in words is "one hundred six billion, sixteen million, five hundred ten thousand, ninety-seven".

Divisors: 1 3 9 27 109 327 981 2943 5303 6793 15909 20379 47727 61137 143181 183411 578027 740437 1734081 2221311 5202243 6663933 15606729 19991799 36023279 108069837 324209511 972628533 3926537411 11779612233 35338836699 106016510097