Search a number
-
+
106680684077 = 1113174032397
BaseRepresentation
bin110001101011010101…
…0100000111000101101
3101012100202112020221022
41203112222200320231
53221440223342302
6121001453143525
710464434565362
oct1432652407055
9335322466838
10106680684077
1141274512a10
121881318aba5
13a0a1913946
14524041a469
152b959cb8a2
hex18d6aa0e2d

106680684077 has 8 divisors (see below), whose sum is σ = 117267318432. Its totient is φ = 96242114800.

The previous prime is 106680684041. The next prime is 106680684107. The reversal of 106680684077 is 770486086601.

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 106680684077 - 218 = 106680421933 is a prime.

It is a super-2 number, since 2×1066806840772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106680684037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37014758 + ... + 37017639.

It is an arithmetic number, because the mean of its divisors is an integer number (14658414804).

Almost surely, 2106680684077 is an apocalyptic number.

It is an amenable number.

106680684077 is a deficient number, since it is larger than the sum of its proper divisors (10586634355).

106680684077 is a wasteful number, since it uses less digits than its factorization.

106680684077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74032539.

The product of its (nonzero) digits is 2709504, while the sum is 53.

The spelling of 106680684077 in words is "one hundred six billion, six hundred eighty million, six hundred eighty-four thousand, seventy-seven".

Divisors: 1 11 131 1441 74032397 814356367 9698244007 106680684077