Search a number
-
+
107770845 = 35721311279
BaseRepresentation
bin1100110110001…
…11001111011101
321111210022210210
412123013033131
5210042131340
614405523033
72446015500
oct633071735
9244708723
10107770845
1155919916
1230113479
1319434840
1410455137
1596dc180
hex66c73dd

107770845 has 48 divisors (see below), whose sum is σ = 216034560. Its totient is φ = 45472896.

The previous prime is 107770843. The next prime is 107770877. The reversal of 107770845 is 548077701.

It is not a de Polignac number, because 107770845 - 21 = 107770843 is a prime.

It is a super-2 number, since 2×1077708452 = 23229110064028050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107770841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3916 + ... + 15194.

It is an arithmetic number, because the mean of its divisors is an integer number (4500720).

Almost surely, 2107770845 is an apocalyptic number.

107770845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107770845 is an abundant number, since it is smaller than the sum of its proper divisors (108263715).

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

107770845 is a wasteful number, since it uses less digits than its factorization.

107770845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11314 (or 11307 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 107770845 is about 10381.2737657765. The cubic root of 107770845 is about 475.8832614531.

The spelling of 107770845 in words is "one hundred seven million, seven hundred seventy thousand, eight hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 11279 33837 56395 78953 146627 169185 236859 394765 439881 552671 733135 1026389 1184295 1658013 2199405 2763355 3079167 5131945 7184723 8290065 15395835 21554169 35923615 107770845