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107630965 = 5133744753
BaseRepresentation
bin1100110101001…
…01000101110101
321111112012221001
412122211011311
5210023142330
614402523301
72444563621
oct632450565
9244465831
10107630965
1155833812
1230066531
13193b5c80
141041a181
1596b09ca
hex66a5175

107630965 has 16 divisors (see below), whose sum is σ = 142854768. Its totient is φ = 77331456.

The previous prime is 107630933. The next prime is 107631001. The reversal of 107630965 is 569036701.

It can be written as a sum of positive squares in 8 ways, for example, as 1602756 + 106028209 = 1266^2 + 10297^2 .

It is a cyclic number.

It is not a de Polignac number, because 107630965 - 25 = 107630933 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19972 + ... + 24781.

It is an arithmetic number, because the mean of its divisors is an integer number (8928423).

Almost surely, 2107630965 is an apocalyptic number.

It is an amenable number.

107630965 is a deficient number, since it is larger than the sum of its proper divisors (35223803).

107630965 is a wasteful number, since it uses less digits than its factorization.

107630965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44808.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 107630965 is about 10374.5344473861. The cubic root of 107630965 is about 475.6772831381.

It can be divided in two parts, 1076 and 30965, that added together give a square (32041 = 1792).

The spelling of 107630965 in words is "one hundred seven million, six hundred thirty thousand, nine hundred sixty-five".

Divisors: 1 5 13 37 65 185 481 2405 44753 223765 581789 1655861 2908945 8279305 21526193 107630965