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107714881 = 3771131313
BaseRepresentation
bin1100110101110…
…01100101000001
321111200111001001
412122321211001
5210033334011
614404412001
72445363361
oct632714501
9244614031
10107714881
115589086a
12300a7001
1319415221
141043c9a1
1596ca7c1
hex66b9941

107714881 has 16 divisors (see below), whose sum is σ = 113401728. Its totient is φ = 102211200.

The previous prime is 107714879. The next prime is 107714891. The reversal of 107714881 is 188417701.

It is a 2-Lehmer number, since φ(107714881) divides (107714881-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 107714881 - 21 = 107714879 is a prime.

It is a super-2 number, since 2×1077148812 = 23204991177688322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R107714880.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107714881.

It is not an unprimeable number, because it can be changed into a prime (107714821) 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 15 ways as a sum of consecutive naturals, for example, 343981 + ... + 344293.

It is an arithmetic number, because the mean of its divisors is an integer number (7087608).

It is a Poulet number, since it divides 2107714880-1.

Almost surely, 2107714881 is an apocalyptic number.

It is an amenable number.

107714881 is a deficient number, since it is larger than the sum of its proper divisors (5686847).

107714881 is a wasteful number, since it uses less digits than its factorization.

107714881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552.

The product of its (nonzero) digits is 12544, while the sum is 37.

The square root of 107714881 is about 10378.5779854468. The cubic root of 107714881 is about 475.8008738583.

The spelling of 107714881 in words is "one hundred seven million, seven hundred fourteen thousand, eight hundred eighty-one".

Divisors: 1 37 71 131 313 2627 4847 9301 11581 22223 41003 344137 822251 1517111 2911213 107714881