Search a number
-
+
106978531 = 1119511859
BaseRepresentation
bin1100110000001…
…01110011100011
321110022001221211
412120011303203
5204341303111
614340530551
72436205522
oct630056343
9243261854
10106978531
1155428610
122b9b0a57
131921800a
14102ca4b9
1595d2521
hex6605ce3

106978531 has 8 divisors (see below), whose sum is σ = 122846400. Its totient is φ = 92134440.

The previous prime is 106978519. The next prime is 106978537. The reversal of 106978531 is 135879601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106978531 - 25 = 106978499 is a prime.

It is a super-2 number, since 2×1069785312 = 22888812189835922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106978537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255721 + ... + 256138.

It is an arithmetic number, because the mean of its divisors is an integer number (15355800).

Almost surely, 2106978531 is an apocalyptic number.

106978531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106978531 is a deficient number, since it is larger than the sum of its proper divisors (15867869).

106978531 is a wasteful number, since it uses less digits than its factorization.

106978531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511889.

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 106978531 is about 10343.0426374447. The cubic root of 106978531 is about 474.7141859510.

The spelling of 106978531 in words is "one hundred six million, nine hundred seventy-eight thousand, five hundred thirty-one".

Divisors: 1 11 19 209 511859 5630449 9725321 106978531