Search a number
-
+
106992918 = 23223258437
BaseRepresentation
bin1100110000010…
…01010100010110
321110022210200200
412120021110112
5204342233133
614341121330
72436265464
oct630112426
9243283620
10106992918
11554383aa
122b9b9246
1319221726
14102d1834
1595d6913
hex6609516

106992918 has 24 divisors (see below), whose sum is σ = 241897968. Its totient is φ = 34113552.

The previous prime is 106992913. The next prime is 106992923. The reversal of 106992918 is 819299601.

It is an interprime number because it is at equal distance from previous prime (106992913) and next prime (106992923).

It is a super-2 number, since 2×1069929182 = 22894969004309448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106992911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128805 + ... + 129632.

It is an arithmetic number, because the mean of its divisors is an integer number (10079082).

Almost surely, 2106992918 is an apocalyptic number.

106992918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106992918 is an abundant number, since it is smaller than the sum of its proper divisors (134905050).

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

106992918 is a wasteful number, since it uses less digits than its factorization.

106992918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258468 (or 258465 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 106992918 is about 10343.7381057333. The cubic root of 106992918 is about 474.7354656314.

The spelling of 106992918 in words is "one hundred six million, nine hundred ninety-two thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 258437 516874 775311 1550622 2325933 4651866 5944051 11888102 17832153 35664306 53496459 106992918