Search a number
-
+
106407450107 = 7171459161283
BaseRepresentation
bin110001100011001100…
…0001101010111111011
3101011122201101112101122
41203012120031113323
53220410301400412
6120514412535455
710454606255030
oct1430630152773
9334581345348
10106407450107
1141144260212
121875778158b
13a05a127b3a
145216013387
152b7ba08572
hex18c660d5fb

106407450107 has 16 divisors (see below), whose sum is σ = 128772882432. Its totient is φ = 85834020480.

The previous prime is 106407450089. The next prime is 106407450139. The reversal of 106407450107 is 701054704601.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106407450107 is a prime.

It is a super-2 number, since 2×1064074501072 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106407450197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705688 + ... + 1766970.

It is an arithmetic number, because the mean of its divisors is an integer number (8048305152).

Almost surely, 2106407450107 is an apocalyptic number.

106407450107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106407450107 is a deficient number, since it is larger than the sum of its proper divisors (22365432325).

106407450107 is a wasteful number, since it uses less digits than its factorization.

106407450107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75898.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 106407450107 in words is "one hundred six billion, four hundred seven million, four hundred fifty thousand, one hundred seven".

Divisors: 1 7 17 119 14591 61283 102137 248047 428981 1041811 1736329 7292677 894180253 6259261771 15201064301 106407450107