Search a number
-
+
102108042 = 2325672669
BaseRepresentation
bin1100001011000…
…00101110001010
321010010121220100
412011200232022
5202114424132
614044310230
72346622041
oct605405612
9233117810
10102108042
1152701313
122a242376
131820117a
14d7bd558
158e6e37c
hex6160b8a

102108042 has 12 divisors (see below), whose sum is σ = 221234130. Its totient is φ = 34036008.

The previous prime is 102108037. The next prime is 102108047. The reversal of 102108042 is 240801201.

It is an interprime number because it is at equal distance from previous prime (102108037) and next prime (102108047).

It can be written as a sum of positive squares in only one way, i.e., 102030201 + 77841 = 10101^2 + 279^2 .

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: 5672669 = 102108042 / (1 + 0 + 2 + 1 + 0 + 8 + 0 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (102108047) 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 5 ways as a sum of consecutive naturals, for example, 2836317 + ... + 2836352.

Almost surely, 2102108042 is an apocalyptic number.

102108042 is an abundant number, since it is smaller than the sum of its proper divisors (119126088).

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

102108042 is a wasteful number, since it uses less digits than its factorization.

102108042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672677 (or 5672674 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102108042 is about 10104.8523987241. The cubic root of 102108042 is about 467.3977844723.

Adding to 102108042 its reverse (240801201), we get a palindrome (342909243).

The spelling of 102108042 in words is "one hundred two million, one hundred eight thousand, forty-two".

Divisors: 1 2 3 6 9 18 5672669 11345338 17018007 34036014 51054021 102108042