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107057191 = 1941532593
BaseRepresentation
bin1100110000110…
…01000000100111
321110110001212011
412120121000213
5204401312231
614342335051
72436654043
oct630310047
9243401764
10107057191
115548171a
122ba2a487
1319244a67
141030b023
1595ea9b1
hex6619027

107057191 has 16 divisors (see below), whose sum is σ = 117663840. Its totient is φ = 97044480.

The previous prime is 107057179. The next prime is 107057207. The reversal of 107057191 is 191750701.

It is a cyclic number.

It is not a de Polignac number, because 107057191 - 29 = 107056679 is a prime.

It is a super-2 number, since 2×1070571912 = 22922484289620962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107057101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39991 + ... + 42583.

It is an arithmetic number, because the mean of its divisors is an integer number (7353990).

Almost surely, 2107057191 is an apocalyptic number.

107057191 is a deficient number, since it is larger than the sum of its proper divisors (10606649).

107057191 is a wasteful number, since it uses less digits than its factorization.

107057191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706.

The product of its (nonzero) digits is 2205, while the sum is 31.

The square root of 107057191 is about 10346.8444948206. The cubic root of 107057191 is about 474.8305079492.

The spelling of 107057191 in words is "one hundred seven million, fifty-seven thousand, one hundred ninety-one".

Divisors: 1 19 41 53 779 1007 2173 2593 41287 49267 106313 137429 2019947 2611151 5634589 107057191