Search a number
-
+
107046829 = 1099912
BaseRepresentation
bin1100110000101…
…10011110101101
321110102112122101
412120112132231
5204400444304
614342215101
72436611611
oct630263655
9243375571
10107046829
115547495a
122ba24491
1319240126
1410307341
1595e78a4
hex66167ad

107046829 has 6 divisors (see below), whose sum is σ = 108138030. Its totient is φ = 105957720.

The previous prime is 107046811. The next prime is 107046847. The reversal of 107046829 is 928640701.

It is an interprime number because it is at equal distance from previous prime (107046811) and next prime (107046847).

It can be written as a sum of positive squares in only one way, i.e., 98208100 + 8838729 = 9910^2 + 2973^2 .

It is not a de Polignac number, because 107046829 - 27 = 107046701 is a prime.

It is a super-2 number, since 2×1070468292 = 22918047197910482, 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 (107046889) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107524 + ... + 108514.

It is an arithmetic number, because the mean of its divisors is an integer number (18023005).

Almost surely, 2107046829 is an apocalyptic number.

It is an amenable number.

107046829 is a deficient number, since it is larger than the sum of its proper divisors (1091201).

107046829 is an frugal number, since it uses more digits than its factorization.

107046829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 107046829 is about 10346.3437503304. The cubic root of 107046829 is about 474.8151879368.

The spelling of 107046829 in words is "one hundred seven million, forty-six thousand, eight hundred twenty-nine".

Divisors: 1 109 991 108019 982081 107046829