Search a number
-
+
106535214660 = 22357253655273
BaseRepresentation
bin110001100110111111…
…1100101111001000100
3101011222121210122102010
41203031333211321010
53221141003332120
6120535215214220
710461020245320
oct1431577457104
9334877718363
10106535214660
11411aa395656
1218792517370
13a07a73cc74
145228d90980
152b87d447e0
hex18cdfe5e44

106535214660 has 48 divisors (see below), whose sum is σ = 340912688256. Its totient is φ = 24350906112.

The previous prime is 106535214641. The next prime is 106535214679. The reversal of 106535214660 is 66412535601.

It is an interprime number because it is at equal distance from previous prime (106535214641) and next prime (106535214679).

It is a super-2 number, since 2×1065352146602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126827217 + ... + 126828056.

It is an arithmetic number, because the mean of its divisors is an integer number (7102347672).

Almost surely, 2106535214660 is an apocalyptic number.

106535214660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106535214660 is an abundant number, since it is smaller than the sum of its proper divisors (234377473596).

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

106535214660 is a wasteful number, since it uses less digits than its factorization.

106535214660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253655292 (or 253655290 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 106535214660 in words is "one hundred six billion, five hundred thirty-five million, two hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 253655273 507310546 760965819 1014621092 1268276365 1521931638 1775586911 2536552730 3043863276 3551173822 3804829095 5073105460 5326760733 7102347644 7609658190 8877934555 10653521466 15219316380 17755869110 21307042932 26633803665 35511738220 53267607330 106535214660