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107154 = 2325953
BaseRepresentation
bin11010001010010010
312102222200
4122022102
511412104
62144030
7624255
oct321222
9172880
10107154
1173563
1252016
1339a08
142b09c
1521b39
hex1a292

107154 has 12 divisors (see below), whose sum is σ = 232206. Its totient is φ = 35712.

The previous prime is 107137. The next prime is 107171. The reversal of 107154 is 451701.

It is an interprime number because it is at equal distance from previous prime (107137) and next prime (107171).

It can be written as a sum of positive squares in only one way, i.e., 106929 + 225 = 327^2 + 15^2 .

It is a super-2 number, since 2×1071542 = 22963959432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5953 = 107154 / (1 + 0 + 7 + 1 + 5 + 4).

It is a Curzon number.

It is an unprimeable number.

107154 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2959 + ... + 2994.

2107154 is an apocalyptic number.

107154 is an abundant number, since it is smaller than the sum of its proper divisors (125052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107154 is a wasteful number, since it uses less digits than its factorization.

107154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107154 is about 327.3438559069. The cubic root of 107154 is about 47.4973590406.

Adding to 107154 its reverse (451701), we get a palindrome (558855).

The spelling of 107154 in words is "one hundred seven thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 5953 11906 17859 35718 53577 107154