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102740977 = 235389947
BaseRepresentation
bin1100001111110…
…11001111110001
321011022210010101
412013323033301
5202300202402
614110032401
72355166243
oct607731761
9234283111
10102740977
1152aa38a9
122a4a8701
13183932a1
14d906093
159046b87
hex61fb3f1

102740977 has 16 divisors (see below), whose sum is σ = 110574720. Its totient is φ = 95235712.

The previous prime is 102740959. The next prime is 102740983. The reversal of 102740977 is 779047201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102740977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102740917) 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 15 ways as a sum of consecutive naturals, for example, 108018 + ... + 108964.

It is an arithmetic number, because the mean of its divisors is an integer number (6910920).

Almost surely, 2102740977 is an apocalyptic number.

It is an amenable number.

102740977 is a deficient number, since it is larger than the sum of its proper divisors (7833743).

102740977 is an equidigital number, since it uses as much as digits as its factorization.

102740977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112.

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 102740977 is about 10136.1223848176. The cubic root of 102740977 is about 468.3615455059.

The spelling of 102740977 in words is "one hundred two million, seven hundred forty thousand, nine hundred seventy-seven".

Divisors: 1 23 53 89 947 1219 2047 4717 21781 50191 84283 108491 1154393 1938509 4466999 102740977